In mathematics, more specifically in ring theory, a maximal ideal is an ideal that is maximal (with respect to set inclusion) amongst all proper ideals. In other words, I is a maximal ideal of a ring R if there are no other ideals contained between I and R.
In noncommutative ring theory, a maximal right ideal is defined analogously as being a maximal element in the poset of proper right ideals, and similarly, a maximal left ideal is defined to be a maximal element of the poset of proper left ideals. Since a one sided maximal ideal A is not necessarily two-sided, the quotient R/A is not necessarily a ring, but it is a simple module over R. If R has a unique maximal right ideal, then R is known as a local ring, and the maximal right ideal is also the unique maximal left and unique maximal two-sided ideal of the ring, and is in fact the Jacobson radical J(R).
In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures. Algebraic structures include groups, rings, fields, modules, vector spaces, lattices, and algebras. The term abstract algebra was coined in the early 20th century to distinguish this area of study from the other parts of algebra.
Universal algebra is a related subject that studies the nature and theories of various types of algebraic structures as a whole. For example, universal algebra studies the overall theory of groups, as distinguished from studying particular groups.
History
As in other parts of mathematics, concrete problems and examples have played important roles in the development of abstract algebra. Through the end of the nineteenth century, many -- perhaps most -- of these problems were in some way related to the theory of algebraic equations. Major themes include:
Maximal submodule , Minimal submodule , Simple module ,Semi-Simple module, Fundamental theorem of Homomorphism, Imp theorem
Homomorphism and Isomorphism of R- Module , epomorphism, endomorphism , Automorphism Imp theorem
what is isomorphism?
what is homomorphism in Module?
Definition of Homomorphism,
Definition of Isomorphism
Submodule | Finitely generated module | cyclic module over ring
what is submodule ? Define submodul , definition of submodule
Definition of Finitely generated module, Definition of cyclic module
sum of submodules,
module Lecture -1 https://youtu.be/Pr38T5994_4
Module of ring | Advanced Abstract Algebra
Module over Ring , Msc Mathematics
Abstract Algebra in hindi,
R-Module over ring , Left R- Module , Right R-Module, Ring therory , Group theory, Vector space,
...
published: 13 Jun 2021
max.and min and small submodule د.كريم صبر
published: 24 May 2021
Homological algebra 6: Injective modules
This lecture is part of an online course on commutative algebra, following the book
"Commutative algebra with a view toward algebraic geometry" by David Eisenbud.
We study to following problem: are there enough injective modules, in the sense that every module is a submodule of an injective module?
Over the integers we show that injective modules are divisible, and use this to show there are enough injective Z-modules. Then we use this to show that three are enough injective R-modules over any ring R.
We then show that every module M has a minimal injective module containing it, unique up to isomorphism. This can be characterized as an injective module that is an essential extension of M. (An essential extension N of M is a module N containing M such that every nonzero submodule of N h...
published: 31 Oct 2020
Homomorphism and Isomorphism of R- module | Quotiont module
Homomorphism and Isomorphism of R- Module , epomorphism, endomorphism , Automorphism Imp theorem
what is isomorphism?
what is homomorphism in Module?
Definition of Homomorphism,
Definition of Isomorphism
Submodule | Finitely generated module | cyclic module over ring
what is submodule ? Define submodul , definition of submodule
Definition of Finitely generated module, Definition of cyclic module
sum of submodules,
module Lecture -1 https://youtu.be/Pr38T5994_4
Module of ring | Advanced Abstract Algebra
Module over Ring , Msc Mathematics
Abstract Algebra in hindi,
R-Module over ring , Left R- Module , Right R-Module, Ring therory , Group theory, Vector space,
R-Module with example ,Direct product of module
properties of module , Submodules,
what is module over ring, cyclic module ,...
published: 12 Jun 2021
جبر الحلقات (Sub Module) المقاسات الجزئية..
published: 12 Jun 2021
Submodules
published: 01 Dec 2020
Modules Over Ring | R-Module | Advanced Abstract Algebra
Module of ring | Advanced Abstract Algebra
Module over Ring , Msc Mathematics
Abstract Algebra in hindi,
R-Module over ring , Left R- Module , Right R-Module, Ring therory , Group theory, Vector space,
R-Module with example ,Direct product of module
properties of module , Submodules,
what is module over ring, cyclic module , Finitely generated module,
isomorphisms of modules
homomorphism of modules
Semi simple module, Direct summand ,schurs Lemma , Noetherian and Artinian Modules and Ring
your Queries
what is module
definition of module
Advanced abstract algebra
Msc mathematics video lectures
Ring theory
#ring
#module
#msc
Fuzzy Relation | Fuzzy Graph full explanation in hindi
Definition of fuzzy Relation
Definition of fuzzy Graph
Fuzzy equation full explaination with examples
...
Maximal submodule , Minimal submodule , Simple module ,Semi-Simple module, Fundamental theorem of Homomorphism, Imp theorem
Homomorphism and Isomorphism of R- ...
Maximal submodule , Minimal submodule , Simple module ,Semi-Simple module, Fundamental theorem of Homomorphism, Imp theorem
Homomorphism and Isomorphism of R- Module , epomorphism, endomorphism , Automorphism Imp theorem
what is isomorphism?
what is homomorphism in Module?
Definition of Homomorphism,
Definition of Isomorphism
Submodule | Finitely generated module | cyclic module over ring
what is submodule ? Define submodul , definition of submodule
Definition of Finitely generated module, Definition of cyclic module
sum of submodules,
module Lecture -1 https://youtu.be/Pr38T5994_4
Module of ring | Advanced Abstract Algebra
Module over Ring , Msc Mathematics
Abstract Algebra in hindi,
R-Module over ring , Left R- Module , Right R-Module, Ring therory , Group theory, Vector space,
R-Module with example ,Direct product of module
properties of module , Submodules,
what is module over ring, cyclic module , Finitely generated module,
isomorphisms of modules
homomorphism of modules
Semi simple module, Direct summand ,schurs Lemma , Noetherian and Artinian Modules and Ring
your Queries
Homomorphism of Module
Explain Homomorphism
Explain Isomorphism
Automorphism
what is module
definition of module
Advanced abstract algebra
Msc mathematics video lectures
Ring theory
#ring
#module
#msc
Fuzzy Relation | Fuzzy Graph full explanation in hindi
Definition of fuzzy Relation
Definition of fuzzy Graph
Fuzzy equation full explaination with examples
fuzzy equation full explaination in Hindi
fuzzy set and fuzzy equation in Hindi
what is fuzzy equation
fuzzy equation Kya hai
fuzzy set Kya hai
Fuzzy Arithmetic And Example full explanation
Fuzzy set and their application hindi lectures
Fuzzy set in Hindi
Fuzzy Arithmetic in soft Computing
Fuzzy Arithmetic operations
Fuzzy Arithmetic tutorial
Fuzzy Arithmetic mcq
T-Norm, T-Conorm or S-Norm
Fuzzy intersection and union
Fuzzy set and their Applications in hindi
Meaning of fuzzy
Crisp set
Fuzzy set
Definition of Fuzzy set
Academy of higher Mathematics
Sir Y.K.Sahu*
This video is very important for your University exams
PDF Unit -1 Fuzzy set 👇
https://drive.google.com/file/d/1AUPI363iDGhv_lov8tfPUWA442ygofAD/view?usp=drivesdk
Some other operations on fuzzy set
Product of fuzzy set
Product of fuzzy set with crisp number
Power of fuzzy set
Important theorems
Fuzzy sets and their Applications, Characteristic of fuzzy set
Fundamental Operation on fuzzy set,
Union
Intersection
Compliment
Normal fuzzy set
Support of fuzzy set
Convex fuzzy set
Decompostion of fuzzy set
Cardinality of fuzzy set
Operation on fuzzy set and important Theorems
Academy of higher Mathematics mahasamund
By Sir Y.K.Sahu,
Best maths Teacher in Mahasaund CG,
AOHM
Academy of higher Mathematics
Fuzzy set
Fuzzy set in hindi
Fuzzy set with Example
Fuzzy intersection (T-Norm )
T-Norm operators
S-Norm operators
Fuzzy logic system
Fuzzy implication
What is Fuzzy set?
Extension of Fuzzy set
Maximal submodule , Minimal submodule , Simple module ,Semi-Simple module, Fundamental theorem of Homomorphism, Imp theorem
Homomorphism and Isomorphism of R- Module , epomorphism, endomorphism , Automorphism Imp theorem
what is isomorphism?
what is homomorphism in Module?
Definition of Homomorphism,
Definition of Isomorphism
Submodule | Finitely generated module | cyclic module over ring
what is submodule ? Define submodul , definition of submodule
Definition of Finitely generated module, Definition of cyclic module
sum of submodules,
module Lecture -1 https://youtu.be/Pr38T5994_4
Module of ring | Advanced Abstract Algebra
Module over Ring , Msc Mathematics
Abstract Algebra in hindi,
R-Module over ring , Left R- Module , Right R-Module, Ring therory , Group theory, Vector space,
R-Module with example ,Direct product of module
properties of module , Submodules,
what is module over ring, cyclic module , Finitely generated module,
isomorphisms of modules
homomorphism of modules
Semi simple module, Direct summand ,schurs Lemma , Noetherian and Artinian Modules and Ring
your Queries
Homomorphism of Module
Explain Homomorphism
Explain Isomorphism
Automorphism
what is module
definition of module
Advanced abstract algebra
Msc mathematics video lectures
Ring theory
#ring
#module
#msc
Fuzzy Relation | Fuzzy Graph full explanation in hindi
Definition of fuzzy Relation
Definition of fuzzy Graph
Fuzzy equation full explaination with examples
fuzzy equation full explaination in Hindi
fuzzy set and fuzzy equation in Hindi
what is fuzzy equation
fuzzy equation Kya hai
fuzzy set Kya hai
Fuzzy Arithmetic And Example full explanation
Fuzzy set and their application hindi lectures
Fuzzy set in Hindi
Fuzzy Arithmetic in soft Computing
Fuzzy Arithmetic operations
Fuzzy Arithmetic tutorial
Fuzzy Arithmetic mcq
T-Norm, T-Conorm or S-Norm
Fuzzy intersection and union
Fuzzy set and their Applications in hindi
Meaning of fuzzy
Crisp set
Fuzzy set
Definition of Fuzzy set
Academy of higher Mathematics
Sir Y.K.Sahu*
This video is very important for your University exams
PDF Unit -1 Fuzzy set 👇
https://drive.google.com/file/d/1AUPI363iDGhv_lov8tfPUWA442ygofAD/view?usp=drivesdk
Some other operations on fuzzy set
Product of fuzzy set
Product of fuzzy set with crisp number
Power of fuzzy set
Important theorems
Fuzzy sets and their Applications, Characteristic of fuzzy set
Fundamental Operation on fuzzy set,
Union
Intersection
Compliment
Normal fuzzy set
Support of fuzzy set
Convex fuzzy set
Decompostion of fuzzy set
Cardinality of fuzzy set
Operation on fuzzy set and important Theorems
Academy of higher Mathematics mahasamund
By Sir Y.K.Sahu,
Best maths Teacher in Mahasaund CG,
AOHM
Academy of higher Mathematics
Fuzzy set
Fuzzy set in hindi
Fuzzy set with Example
Fuzzy intersection (T-Norm )
T-Norm operators
S-Norm operators
Fuzzy logic system
Fuzzy implication
What is Fuzzy set?
Extension of Fuzzy set
This lecture is part of an online course on commutative algebra, following the book
"Commutative algebra with a view toward algebraic geometry" by David Eisenbu...
This lecture is part of an online course on commutative algebra, following the book
"Commutative algebra with a view toward algebraic geometry" by David Eisenbud.
We study to following problem: are there enough injective modules, in the sense that every module is a submodule of an injective module?
Over the integers we show that injective modules are divisible, and use this to show there are enough injective Z-modules. Then we use this to show that three are enough injective R-modules over any ring R.
We then show that every module M has a minimal injective module containing it, unique up to isomorphism. This can be characterized as an injective module that is an essential extension of M. (An essential extension N of M is a module N containing M such that every nonzero submodule of N has nonzero intersection with M.)
Reading: Section
Exercises:
This lecture is part of an online course on commutative algebra, following the book
"Commutative algebra with a view toward algebraic geometry" by David Eisenbud.
We study to following problem: are there enough injective modules, in the sense that every module is a submodule of an injective module?
Over the integers we show that injective modules are divisible, and use this to show there are enough injective Z-modules. Then we use this to show that three are enough injective R-modules over any ring R.
We then show that every module M has a minimal injective module containing it, unique up to isomorphism. This can be characterized as an injective module that is an essential extension of M. (An essential extension N of M is a module N containing M such that every nonzero submodule of N has nonzero intersection with M.)
Reading: Section
Exercises:
Homomorphism and Isomorphism of R- Module , epomorphism, endomorphism , Automorphism Imp theorem
what is isomorphism?
what is homomorphism in Module?
Definition...
Homomorphism and Isomorphism of R- Module , epomorphism, endomorphism , Automorphism Imp theorem
what is isomorphism?
what is homomorphism in Module?
Definition of Homomorphism,
Definition of Isomorphism
Submodule | Finitely generated module | cyclic module over ring
what is submodule ? Define submodul , definition of submodule
Definition of Finitely generated module, Definition of cyclic module
sum of submodules,
module Lecture -1 https://youtu.be/Pr38T5994_4
Module of ring | Advanced Abstract Algebra
Module over Ring , Msc Mathematics
Abstract Algebra in hindi,
R-Module over ring , Left R- Module , Right R-Module, Ring therory , Group theory, Vector space,
R-Module with example ,Direct product of module
properties of module , Submodules,
what is module over ring, cyclic module , Finitely generated module,
isomorphisms of modules
homomorphism of modules
Semi simple module, Direct summand ,schurs Lemma , Noetherian and Artinian Modules and Ring
your Queries
Homomorphism of Module
Explain Homomorphism
Explain Isomorphism
Automorphism
what is module
definition of module
Advanced abstract algebra
Msc mathematics video lectures
Ring theory
#ring
#module
#msc
Fuzzy Relation | Fuzzy Graph full explanation in hindi
Definition of fuzzy Relation
Definition of fuzzy Graph
Fuzzy equation full explaination with examples
fuzzy equation full explaination in Hindi
fuzzy set and fuzzy equation in Hindi
what is fuzzy equation
fuzzy equation Kya hai
fuzzy set Kya hai
Fuzzy Arithmetic And Example full explanation
Fuzzy set and their application hindi lectures
Fuzzy set in Hindi
Fuzzy Arithmetic in soft Computing
Fuzzy Arithmetic operations
Fuzzy Arithmetic tutorial
Fuzzy Arithmetic mcq
T-Norm, T-Conorm or S-Norm
Fuzzy intersection and union
Fuzzy set and their Applications in hindi
Meaning of fuzzy
Crisp set
Fuzzy set
Definition of Fuzzy set
Academy of higher Mathematics
Sir Y.K.Sahu*
This video is very important for your University exams
PDF Unit -1 Fuzzy set 👇
https://drive.google.com/file/d/1AUPI363iDGhv_lov8tfPUWA442ygofAD/view?usp=drivesdk
Some other operations on fuzzy set
Product of fuzzy set
Product of fuzzy set with crisp number
Power of fuzzy set
Important theorems
Fuzzy sets and their Applications, Characteristic of fuzzy set
Fundamental Operation on fuzzy set,
Union
Intersection
Compliment
Normal fuzzy set
Support of fuzzy set
Convex fuzzy set
Decompostion of fuzzy set
Cardinality of fuzzy set
Operation on fuzzy set and important Theorems
Academy of higher Mathematics mahasamund
By Sir Y.K.Sahu,
Best maths Teacher in Mahasaund CG,
AOHM
Academy of higher Mathematics
Fuzzy set
Fuzzy set in hindi
Fuzzy set with Example
Fuzzy intersection (T-Norm )
T-Norm operators
S-Norm operators
Fuzzy logic system
Fuzzy implication
What is Fuzzy set?
Extension of Fuzzy set
Homomorphism and Isomorphism of R- Module , epomorphism, endomorphism , Automorphism Imp theorem
what is isomorphism?
what is homomorphism in Module?
Definition of Homomorphism,
Definition of Isomorphism
Submodule | Finitely generated module | cyclic module over ring
what is submodule ? Define submodul , definition of submodule
Definition of Finitely generated module, Definition of cyclic module
sum of submodules,
module Lecture -1 https://youtu.be/Pr38T5994_4
Module of ring | Advanced Abstract Algebra
Module over Ring , Msc Mathematics
Abstract Algebra in hindi,
R-Module over ring , Left R- Module , Right R-Module, Ring therory , Group theory, Vector space,
R-Module with example ,Direct product of module
properties of module , Submodules,
what is module over ring, cyclic module , Finitely generated module,
isomorphisms of modules
homomorphism of modules
Semi simple module, Direct summand ,schurs Lemma , Noetherian and Artinian Modules and Ring
your Queries
Homomorphism of Module
Explain Homomorphism
Explain Isomorphism
Automorphism
what is module
definition of module
Advanced abstract algebra
Msc mathematics video lectures
Ring theory
#ring
#module
#msc
Fuzzy Relation | Fuzzy Graph full explanation in hindi
Definition of fuzzy Relation
Definition of fuzzy Graph
Fuzzy equation full explaination with examples
fuzzy equation full explaination in Hindi
fuzzy set and fuzzy equation in Hindi
what is fuzzy equation
fuzzy equation Kya hai
fuzzy set Kya hai
Fuzzy Arithmetic And Example full explanation
Fuzzy set and their application hindi lectures
Fuzzy set in Hindi
Fuzzy Arithmetic in soft Computing
Fuzzy Arithmetic operations
Fuzzy Arithmetic tutorial
Fuzzy Arithmetic mcq
T-Norm, T-Conorm or S-Norm
Fuzzy intersection and union
Fuzzy set and their Applications in hindi
Meaning of fuzzy
Crisp set
Fuzzy set
Definition of Fuzzy set
Academy of higher Mathematics
Sir Y.K.Sahu*
This video is very important for your University exams
PDF Unit -1 Fuzzy set 👇
https://drive.google.com/file/d/1AUPI363iDGhv_lov8tfPUWA442ygofAD/view?usp=drivesdk
Some other operations on fuzzy set
Product of fuzzy set
Product of fuzzy set with crisp number
Power of fuzzy set
Important theorems
Fuzzy sets and their Applications, Characteristic of fuzzy set
Fundamental Operation on fuzzy set,
Union
Intersection
Compliment
Normal fuzzy set
Support of fuzzy set
Convex fuzzy set
Decompostion of fuzzy set
Cardinality of fuzzy set
Operation on fuzzy set and important Theorems
Academy of higher Mathematics mahasamund
By Sir Y.K.Sahu,
Best maths Teacher in Mahasaund CG,
AOHM
Academy of higher Mathematics
Fuzzy set
Fuzzy set in hindi
Fuzzy set with Example
Fuzzy intersection (T-Norm )
T-Norm operators
S-Norm operators
Fuzzy logic system
Fuzzy implication
What is Fuzzy set?
Extension of Fuzzy set
Module of ring | Advanced Abstract Algebra
Module over Ring , Msc Mathematics
Abstract Algebra in hindi,
R-Module over ring , Left R- Module , Right R-Module, ...
Module of ring | Advanced Abstract Algebra
Module over Ring , Msc Mathematics
Abstract Algebra in hindi,
R-Module over ring , Left R- Module , Right R-Module, Ring therory , Group theory, Vector space,
R-Module with example ,Direct product of module
properties of module , Submodules,
what is module over ring, cyclic module , Finitely generated module,
isomorphisms of modules
homomorphism of modules
Semi simple module, Direct summand ,schurs Lemma , Noetherian and Artinian Modules and Ring
your Queries
what is module
definition of module
Advanced abstract algebra
Msc mathematics video lectures
Ring theory
#ring
#module
#msc
Fuzzy Relation | Fuzzy Graph full explanation in hindi
Definition of fuzzy Relation
Definition of fuzzy Graph
Fuzzy equation full explaination with examples
fuzzy equation full explaination in Hindi
fuzzy set and fuzzy equation in Hindi
what is fuzzy equation
fuzzy equation Kya hai
fuzzy set Kya hai
Fuzzy Arithmetic And Example full explanation
Fuzzy set and their application hindi lectures
Fuzzy set in Hindi
Fuzzy Arithmetic in soft Computing
Fuzzy Arithmetic operations
Fuzzy Arithmetic tutorial
Fuzzy Arithmetic mcq
T-Norm, T-Conorm or S-Norm
Fuzzy intersection and union
Fuzzy set and their Applications in hindi
Meaning of fuzzy
Crisp set
Fuzzy set
Definition of Fuzzy set
Academy of higher Mathematics
Sir Y.K.Sahu*
This video is very important for your University exams
PDF Unit -1 Fuzzy set 👇
https://drive.google.com/file/d/1AUPI363iDGhv_lov8tfPUWA442ygofAD/view?usp=drivesdk
Some other operations on fuzzy set
Product of fuzzy set
Product of fuzzy set with crisp number
Power of fuzzy set
Important theorems
Fuzzy sets and their Applications, Characteristic of fuzzy set
Fundamental Operation on fuzzy set,
Union
Intersection
Compliment
Normal fuzzy set
Support of fuzzy set
Convex fuzzy set
Decompostion of fuzzy set
Cardinality of fuzzy set
Operation on fuzzy set and important Theorems
Academy of higher Mathematics mahasamund
By Sir Y.K.Sahu,
Best maths Teacher in Mahasaund CG,
AOHM
Academy of higher Mathematics
Fuzzy set
Fuzzy set in hindi
Fuzzy set with Example
Fuzzy intersection (T-Norm )
T-Norm operators
S-Norm operators
Fuzzy logic system
Fuzzy implication
What is Fuzzy set?
Extension of Fuzzy set
Module of ring | Advanced Abstract Algebra
Module over Ring , Msc Mathematics
Abstract Algebra in hindi,
R-Module over ring , Left R- Module , Right R-Module, Ring therory , Group theory, Vector space,
R-Module with example ,Direct product of module
properties of module , Submodules,
what is module over ring, cyclic module , Finitely generated module,
isomorphisms of modules
homomorphism of modules
Semi simple module, Direct summand ,schurs Lemma , Noetherian and Artinian Modules and Ring
your Queries
what is module
definition of module
Advanced abstract algebra
Msc mathematics video lectures
Ring theory
#ring
#module
#msc
Fuzzy Relation | Fuzzy Graph full explanation in hindi
Definition of fuzzy Relation
Definition of fuzzy Graph
Fuzzy equation full explaination with examples
fuzzy equation full explaination in Hindi
fuzzy set and fuzzy equation in Hindi
what is fuzzy equation
fuzzy equation Kya hai
fuzzy set Kya hai
Fuzzy Arithmetic And Example full explanation
Fuzzy set and their application hindi lectures
Fuzzy set in Hindi
Fuzzy Arithmetic in soft Computing
Fuzzy Arithmetic operations
Fuzzy Arithmetic tutorial
Fuzzy Arithmetic mcq
T-Norm, T-Conorm or S-Norm
Fuzzy intersection and union
Fuzzy set and their Applications in hindi
Meaning of fuzzy
Crisp set
Fuzzy set
Definition of Fuzzy set
Academy of higher Mathematics
Sir Y.K.Sahu*
This video is very important for your University exams
PDF Unit -1 Fuzzy set 👇
https://drive.google.com/file/d/1AUPI363iDGhv_lov8tfPUWA442ygofAD/view?usp=drivesdk
Some other operations on fuzzy set
Product of fuzzy set
Product of fuzzy set with crisp number
Power of fuzzy set
Important theorems
Fuzzy sets and their Applications, Characteristic of fuzzy set
Fundamental Operation on fuzzy set,
Union
Intersection
Compliment
Normal fuzzy set
Support of fuzzy set
Convex fuzzy set
Decompostion of fuzzy set
Cardinality of fuzzy set
Operation on fuzzy set and important Theorems
Academy of higher Mathematics mahasamund
By Sir Y.K.Sahu,
Best maths Teacher in Mahasaund CG,
AOHM
Academy of higher Mathematics
Fuzzy set
Fuzzy set in hindi
Fuzzy set with Example
Fuzzy intersection (T-Norm )
T-Norm operators
S-Norm operators
Fuzzy logic system
Fuzzy implication
What is Fuzzy set?
Extension of Fuzzy set
Maximal submodule , Minimal submodule , Simple module ,Semi-Simple module, Fundamental theorem of Homomorphism, Imp theorem
Homomorphism and Isomorphism of R- Module , epomorphism, endomorphism , Automorphism Imp theorem
what is isomorphism?
what is homomorphism in Module?
Definition of Homomorphism,
Definition of Isomorphism
Submodule | Finitely generated module | cyclic module over ring
what is submodule ? Define submodul , definition of submodule
Definition of Finitely generated module, Definition of cyclic module
sum of submodules,
module Lecture -1 https://youtu.be/Pr38T5994_4
Module of ring | Advanced Abstract Algebra
Module over Ring , Msc Mathematics
Abstract Algebra in hindi,
R-Module over ring , Left R- Module , Right R-Module, Ring therory , Group theory, Vector space,
R-Module with example ,Direct product of module
properties of module , Submodules,
what is module over ring, cyclic module , Finitely generated module,
isomorphisms of modules
homomorphism of modules
Semi simple module, Direct summand ,schurs Lemma , Noetherian and Artinian Modules and Ring
your Queries
Homomorphism of Module
Explain Homomorphism
Explain Isomorphism
Automorphism
what is module
definition of module
Advanced abstract algebra
Msc mathematics video lectures
Ring theory
#ring
#module
#msc
Fuzzy Relation | Fuzzy Graph full explanation in hindi
Definition of fuzzy Relation
Definition of fuzzy Graph
Fuzzy equation full explaination with examples
fuzzy equation full explaination in Hindi
fuzzy set and fuzzy equation in Hindi
what is fuzzy equation
fuzzy equation Kya hai
fuzzy set Kya hai
Fuzzy Arithmetic And Example full explanation
Fuzzy set and their application hindi lectures
Fuzzy set in Hindi
Fuzzy Arithmetic in soft Computing
Fuzzy Arithmetic operations
Fuzzy Arithmetic tutorial
Fuzzy Arithmetic mcq
T-Norm, T-Conorm or S-Norm
Fuzzy intersection and union
Fuzzy set and their Applications in hindi
Meaning of fuzzy
Crisp set
Fuzzy set
Definition of Fuzzy set
Academy of higher Mathematics
Sir Y.K.Sahu*
This video is very important for your University exams
PDF Unit -1 Fuzzy set 👇
https://drive.google.com/file/d/1AUPI363iDGhv_lov8tfPUWA442ygofAD/view?usp=drivesdk
Some other operations on fuzzy set
Product of fuzzy set
Product of fuzzy set with crisp number
Power of fuzzy set
Important theorems
Fuzzy sets and their Applications, Characteristic of fuzzy set
Fundamental Operation on fuzzy set,
Union
Intersection
Compliment
Normal fuzzy set
Support of fuzzy set
Convex fuzzy set
Decompostion of fuzzy set
Cardinality of fuzzy set
Operation on fuzzy set and important Theorems
Academy of higher Mathematics mahasamund
By Sir Y.K.Sahu,
Best maths Teacher in Mahasaund CG,
AOHM
Academy of higher Mathematics
Fuzzy set
Fuzzy set in hindi
Fuzzy set with Example
Fuzzy intersection (T-Norm )
T-Norm operators
S-Norm operators
Fuzzy logic system
Fuzzy implication
What is Fuzzy set?
Extension of Fuzzy set
This lecture is part of an online course on commutative algebra, following the book
"Commutative algebra with a view toward algebraic geometry" by David Eisenbud.
We study to following problem: are there enough injective modules, in the sense that every module is a submodule of an injective module?
Over the integers we show that injective modules are divisible, and use this to show there are enough injective Z-modules. Then we use this to show that three are enough injective R-modules over any ring R.
We then show that every module M has a minimal injective module containing it, unique up to isomorphism. This can be characterized as an injective module that is an essential extension of M. (An essential extension N of M is a module N containing M such that every nonzero submodule of N has nonzero intersection with M.)
Reading: Section
Exercises:
Homomorphism and Isomorphism of R- Module , epomorphism, endomorphism , Automorphism Imp theorem
what is isomorphism?
what is homomorphism in Module?
Definition of Homomorphism,
Definition of Isomorphism
Submodule | Finitely generated module | cyclic module over ring
what is submodule ? Define submodul , definition of submodule
Definition of Finitely generated module, Definition of cyclic module
sum of submodules,
module Lecture -1 https://youtu.be/Pr38T5994_4
Module of ring | Advanced Abstract Algebra
Module over Ring , Msc Mathematics
Abstract Algebra in hindi,
R-Module over ring , Left R- Module , Right R-Module, Ring therory , Group theory, Vector space,
R-Module with example ,Direct product of module
properties of module , Submodules,
what is module over ring, cyclic module , Finitely generated module,
isomorphisms of modules
homomorphism of modules
Semi simple module, Direct summand ,schurs Lemma , Noetherian and Artinian Modules and Ring
your Queries
Homomorphism of Module
Explain Homomorphism
Explain Isomorphism
Automorphism
what is module
definition of module
Advanced abstract algebra
Msc mathematics video lectures
Ring theory
#ring
#module
#msc
Fuzzy Relation | Fuzzy Graph full explanation in hindi
Definition of fuzzy Relation
Definition of fuzzy Graph
Fuzzy equation full explaination with examples
fuzzy equation full explaination in Hindi
fuzzy set and fuzzy equation in Hindi
what is fuzzy equation
fuzzy equation Kya hai
fuzzy set Kya hai
Fuzzy Arithmetic And Example full explanation
Fuzzy set and their application hindi lectures
Fuzzy set in Hindi
Fuzzy Arithmetic in soft Computing
Fuzzy Arithmetic operations
Fuzzy Arithmetic tutorial
Fuzzy Arithmetic mcq
T-Norm, T-Conorm or S-Norm
Fuzzy intersection and union
Fuzzy set and their Applications in hindi
Meaning of fuzzy
Crisp set
Fuzzy set
Definition of Fuzzy set
Academy of higher Mathematics
Sir Y.K.Sahu*
This video is very important for your University exams
PDF Unit -1 Fuzzy set 👇
https://drive.google.com/file/d/1AUPI363iDGhv_lov8tfPUWA442ygofAD/view?usp=drivesdk
Some other operations on fuzzy set
Product of fuzzy set
Product of fuzzy set with crisp number
Power of fuzzy set
Important theorems
Fuzzy sets and their Applications, Characteristic of fuzzy set
Fundamental Operation on fuzzy set,
Union
Intersection
Compliment
Normal fuzzy set
Support of fuzzy set
Convex fuzzy set
Decompostion of fuzzy set
Cardinality of fuzzy set
Operation on fuzzy set and important Theorems
Academy of higher Mathematics mahasamund
By Sir Y.K.Sahu,
Best maths Teacher in Mahasaund CG,
AOHM
Academy of higher Mathematics
Fuzzy set
Fuzzy set in hindi
Fuzzy set with Example
Fuzzy intersection (T-Norm )
T-Norm operators
S-Norm operators
Fuzzy logic system
Fuzzy implication
What is Fuzzy set?
Extension of Fuzzy set
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Fuzzy Relation | Fuzzy Graph full explanation in hindi
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T-Norm, T-Conorm or S-Norm
Fuzzy intersection and union
Fuzzy set and their Applications in hindi
Meaning of fuzzy
Crisp set
Fuzzy set
Definition of Fuzzy set
Academy of higher Mathematics
Sir Y.K.Sahu*
This video is very important for your University exams
PDF Unit -1 Fuzzy set 👇
https://drive.google.com/file/d/1AUPI363iDGhv_lov8tfPUWA442ygofAD/view?usp=drivesdk
Some other operations on fuzzy set
Product of fuzzy set
Product of fuzzy set with crisp number
Power of fuzzy set
Important theorems
Fuzzy sets and their Applications, Characteristic of fuzzy set
Fundamental Operation on fuzzy set,
Union
Intersection
Compliment
Normal fuzzy set
Support of fuzzy set
Convex fuzzy set
Decompostion of fuzzy set
Cardinality of fuzzy set
Operation on fuzzy set and important Theorems
Academy of higher Mathematics mahasamund
By Sir Y.K.Sahu,
Best maths Teacher in Mahasaund CG,
AOHM
Academy of higher Mathematics
Fuzzy set
Fuzzy set in hindi
Fuzzy set with Example
Fuzzy intersection (T-Norm )
T-Norm operators
S-Norm operators
Fuzzy logic system
Fuzzy implication
What is Fuzzy set?
Extension of Fuzzy set
In mathematics, more specifically in ring theory, a maximal ideal is an ideal that is maximal (with respect to set inclusion) amongst all proper ideals. In other words, I is a maximal ideal of a ring R if there are no other ideals contained between I and R.
In noncommutative ring theory, a maximal right ideal is defined analogously as being a maximal element in the poset of proper right ideals, and similarly, a maximal left ideal is defined to be a maximal element of the poset of proper left ideals. Since a one sided maximal ideal A is not necessarily two-sided, the quotient R/A is not necessarily a ring, but it is a simple module over R. If R has a unique maximal right ideal, then R is known as a local ring, and the maximal right ideal is also the unique maximal left and unique maximal two-sided ideal of the ring, and is in fact the Jacobson radical J(R).