In mathematics, a semigroup is an algebraic structure consisting of a set together with an associativebinary operation. The binary operation of a semigroup is most often denoted multiplicatively: x·y, or simply xy, denotes the result of applying the semigroup operation to the ordered pair(x, y). Associativity is formally expressed as that (x·y)·z = x·(y·z) for all x, y and z in the semigroup.
The name "semigroup" originates in the fact that a semigroup generalizes a group by preserving only associativity and closure under the binary operation from the axioms defining a group. From the opposite point of view (of adding rather than removing axioms), a semigroup is an associative magma. As in the case of groups or magmas, the semigroup operation need not be commutative, so x·y is not necessarily equal to y·x; a typical example of associative but non-commutative operation is matrix multiplication. If the semigroup operation is commutative, then the semigroup is called a commutative semigroup or (less often than in the analogous case of groups) it may be called an abelian semigroup.
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Semigroup is an algebraic structure consisting of a set together with an associative binary operation.
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published: 06 Apr 2021
Semigroups and Abelian Algebraic Structures
Thesis: https://www.researchgate.net/publication/328163392_The_Cayley_type_theorem_for_semigroups
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After talking about magmas we are finally at the point to go further. Introducing Semigroups and commutative bois today we can actually prove, that the natural numbers under addition form an abelian semigroup! Enjoy =)
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published: 29 Nov 2018
Semigroup of bounded linear operators on Banach space - Part 1
Algebraic Structures are another set of useful tools we use in Functional Programming. In this video we will look at 3 basic structures.
Magma is a Set of values with a binary operation that is closed on that Set.
Semigroup is a Magma in which the binary operation is associative.
Monoid is a Semigroup that has Empty or Neutral value.
In this Video:
- Algebraic Structures
- Magma
- Semigroup
- Monoid
Correction:
[1:48] - Real number and division is not a Magma, because dividing real number 12.0 by real number 0.0 doesn't return a real number. Non-zero real numbers and division are Magma though.
published: 03 Mar 2023
28 Adimurthi - Introduction to the semigroup theory
PROGRAM NAME :WINTER SCHOOL ON STOCHASTIC ANALYSIS AND CONTROL OF FLUID FLOW
DATES
Monday 03 Dec, 2012 - Thursday 20 Dec, 2012
VENUE
School of Mathematics, Indian Institute of Science Education and Research, Thiruvananthapuram
Stochastic analysis and control of fluid flow problems have seen great mathematical advancement over past two decades. A vast number of physical and engineering systems are encompassed under various flow governing equations. Various applications lie in defense related problems, important one is aero-hydrodynamic drag reduction in aerial, surface and undersea vehicles. Other applications are in atmospheric and ocean data assimilation, plasma fusion and energy-environmental problems.
The aim of the school is to make students and researchers across various organiza...
published: 22 Jul 2013
Semigroup || Natural Number set is semigroup or not?
Here we discussed semigroup with examples.
published: 05 Nov 2023
Haskell for Imperative Programmers #35 - Semigroup & Monoid
In this video it's going to get theoretical!
Documentation:
https://hackage.haskell.org/package/base-4.14.0.0/docs/Data-Semigroup.html
https://hackage.haskell.org/package/base-4.14.0.0/docs/Data-Monoid.html
Further reading:
https://en.wikipedia.org/wiki/Algebraic_structure
Timestamps:
00:00 - Intro
01:04 - Algebras and their definition
05:10 - Magma definition
05:35 - Semigroup definition
07:18 - Semigroup examples
09:10 - Monoid definition
11:30 - Monoid for [a]
12:08 - Monoids for numerical types
15:24 - What algebraic structures are good for
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published: 10 Jul 2020
14. Semigroups and Monoids - Groups - Gate
This lecture introduces the concept of algebraic structure, semigroups and monoids.
Access Full Course at: https://packetprep.com/course/set-theory-gate-cs
published: 17 Aug 2017
Semigroup and Monoid
Semigroup and Monoid
published: 07 Nov 2020
[Mathematical Linguistics] Subgroups, Semigroups, and Monoids
Introduces subgroups, semigroups, and monoids, as well as goes through some examples. A proof of subgroups is also presented.
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Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.
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Semigroup is an algebraic structure consisting of a set together with an associative bina...
👉Subscribe to our new channel:https://www.youtube.com/@varunainashots
Semigroup is an algebraic structure consisting of a set together with an associative binary operation.
►Discrete Mathematics(Complete Playlist):
https://www.youtube.com/playlist?list=PLxCzCOWd7aiH2wwES9vPWsEL6ipTaUSl3
Other subject-wise playlist Links:
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►Operating System:
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Semigroup is an algebraic structure consisting of a set together with an associative binary operation.
►Discrete Mathematics(Complete Playlist):
https://www.youtube.com/playlist?list=PLxCzCOWd7aiH2wwES9vPWsEL6ipTaUSl3
Other subject-wise playlist Links:
--------------------------------------------------------------------------------------------------------------------------------------
►Design and Analysis of algorithms (DAA):
https://www.youtube.com/playlist?list=PLxCzCOWd7aiHcmS4i14bI0VrMbZTUvlTa
►Database Management System:
https://www.youtube.com/playlist?list=PLxCzCOWd7aiFAN6I8CuViBuCdJgiOkT2Y
► Software Engineering:
https://www.youtube.com/playlist?list=PLxCzCOWd7aiEed7SKZBnC6ypFDWYLRvB2
►Artificial Intelligence:
https://www.youtube.com/playlist?list=PLxCzCOWd7aiHGhOHV-nwb0HR5US5GFKFI
►Computer Networks:
https://www.youtube.com/playlist?list=PLxCzCOWd7aiGFBD2-2joCpWOLUrDLvVV_
►Operating System:
https://www.youtube.com/playlist?list=PLxCzCOWd7aiGz9donHRrE9I3Mwn6XdP8p
►Structured Query Language (SQL):
https://www.youtube.com/playlist?list=PLxCzCOWd7aiHqU4HKL7-SITyuSIcD93id
►Digital Logic:
https://www.youtube.com/playlist?list=PLxCzCOWd7aiGmXg4NoX6R31AsC5LeCPHe
►Number System :
https://www.youtube.com/playlist?list=PLxCzCOWd7aiFOet6KEEqDff1aXEGLdUzn
►Theory of Computation :
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►Graph Theory :
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#semigroup#groupTheory#discreteMathematics
Thesis: https://www.researchgate.net/publication/328163392_The_Cayley_type_theorem_for_semigroups
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Help m...
Thesis: https://www.researchgate.net/publication/328163392_The_Cayley_type_theorem_for_semigroups
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Paper's Playlist: https://www.youtube.com/watch?v=nvYqkhZFzyY&list=PLN2B6ZNu6xmdorOnKubCFNmkbCxfhvgVt
After talking about magmas we are finally at the point to go further. Introducing Semigroups and commutative bois today we can actually prove, that the natural numbers under addition form an abelian semigroup! Enjoy =)
Twitter: https://twitter.com/FlammableMaths
Facebook: https://www.facebook.com/flammablemaths/
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Thesis: https://www.researchgate.net/publication/328163392_The_Cayley_type_theorem_for_semigroups
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Help me create more free content! =)
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Paper's Playlist: https://www.youtube.com/watch?v=nvYqkhZFzyY&list=PLN2B6ZNu6xmdorOnKubCFNmkbCxfhvgVt
After talking about magmas we are finally at the point to go further. Introducing Semigroups and commutative bois today we can actually prove, that the natural numbers under addition form an abelian semigroup! Enjoy =)
Twitter: https://twitter.com/FlammableMaths
Facebook: https://www.facebook.com/flammablemaths/
Got some time to spare? Make sure to add captions to my videos! =) http://www.youtube.com/timedtext_cs_panel?c=UCtAIs1VCQrymlAnw3mGonhw&tab=2
Visit my website! =)
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Algebraic Structures are another set of useful tools we use in Functional Programming. In this video we will look at 3 basic structures.
Magma is a Set of value...
Algebraic Structures are another set of useful tools we use in Functional Programming. In this video we will look at 3 basic structures.
Magma is a Set of values with a binary operation that is closed on that Set.
Semigroup is a Magma in which the binary operation is associative.
Monoid is a Semigroup that has Empty or Neutral value.
In this Video:
- Algebraic Structures
- Magma
- Semigroup
- Monoid
Correction:
[1:48] - Real number and division is not a Magma, because dividing real number 12.0 by real number 0.0 doesn't return a real number. Non-zero real numbers and division are Magma though.
Algebraic Structures are another set of useful tools we use in Functional Programming. In this video we will look at 3 basic structures.
Magma is a Set of values with a binary operation that is closed on that Set.
Semigroup is a Magma in which the binary operation is associative.
Monoid is a Semigroup that has Empty or Neutral value.
In this Video:
- Algebraic Structures
- Magma
- Semigroup
- Monoid
Correction:
[1:48] - Real number and division is not a Magma, because dividing real number 12.0 by real number 0.0 doesn't return a real number. Non-zero real numbers and division are Magma though.
PROGRAM NAME :WINTER SCHOOL ON STOCHASTIC ANALYSIS AND CONTROL OF FLUID FLOW
DATES
Monday 03 Dec, 2012 - Thursday 20 Dec, 2012
VENUE
School of Mathematics, In...
PROGRAM NAME :WINTER SCHOOL ON STOCHASTIC ANALYSIS AND CONTROL OF FLUID FLOW
DATES
Monday 03 Dec, 2012 - Thursday 20 Dec, 2012
VENUE
School of Mathematics, Indian Institute of Science Education and Research, Thiruvananthapuram
Stochastic analysis and control of fluid flow problems have seen great mathematical advancement over past two decades. A vast number of physical and engineering systems are encompassed under various flow governing equations. Various applications lie in defense related problems, important one is aero-hydrodynamic drag reduction in aerial, surface and undersea vehicles. Other applications are in atmospheric and ocean data assimilation, plasma fusion and energy-environmental problems.
The aim of the school is to make students and researchers across various organizations working in fluid flow problems well acquainted with the basic and advanced topics in control of partial differential equations (PDEs) arising from fluid dynamics with special emphasis on Navier-Stokes equations in both deterministic and stochastic settings. In the first week, introductory topics from Navier-Stokes equations, stochastic analysis and control of PDEs will be introduced. This would help in building the background for the advanced topics to be covered later on. In the following two weeks, solvability, control and large deviations of Navier-Stokes equations in both deterministic and stochastic settings will be covered. Topics on stochastic Navier-Stokes equations and stochastic Landau-Lifschitz-Gilbert equation on manifolds will also be covered using tools from differential geometry and stochastic analysis.
The winter school will also comprise of one day discussion meeting where a number of Indian senior experts will be invited to present their recent works related to the theme of the school. The discussion meeting aims to overview open problems and possible pathways to tackle them. This would help to enhance research activity in this area within India with the help of foreign experts through collaborations and exchange programmes.
PROGRAM LINK
http://www.icts.res.in/program/control2012
PROGRAM NAME :WINTER SCHOOL ON STOCHASTIC ANALYSIS AND CONTROL OF FLUID FLOW
DATES
Monday 03 Dec, 2012 - Thursday 20 Dec, 2012
VENUE
School of Mathematics, Indian Institute of Science Education and Research, Thiruvananthapuram
Stochastic analysis and control of fluid flow problems have seen great mathematical advancement over past two decades. A vast number of physical and engineering systems are encompassed under various flow governing equations. Various applications lie in defense related problems, important one is aero-hydrodynamic drag reduction in aerial, surface and undersea vehicles. Other applications are in atmospheric and ocean data assimilation, plasma fusion and energy-environmental problems.
The aim of the school is to make students and researchers across various organizations working in fluid flow problems well acquainted with the basic and advanced topics in control of partial differential equations (PDEs) arising from fluid dynamics with special emphasis on Navier-Stokes equations in both deterministic and stochastic settings. In the first week, introductory topics from Navier-Stokes equations, stochastic analysis and control of PDEs will be introduced. This would help in building the background for the advanced topics to be covered later on. In the following two weeks, solvability, control and large deviations of Navier-Stokes equations in both deterministic and stochastic settings will be covered. Topics on stochastic Navier-Stokes equations and stochastic Landau-Lifschitz-Gilbert equation on manifolds will also be covered using tools from differential geometry and stochastic analysis.
The winter school will also comprise of one day discussion meeting where a number of Indian senior experts will be invited to present their recent works related to the theme of the school. The discussion meeting aims to overview open problems and possible pathways to tackle them. This would help to enhance research activity in this area within India with the help of foreign experts through collaborations and exchange programmes.
PROGRAM LINK
http://www.icts.res.in/program/control2012
In this video it's going to get theoretical!
Documentation:
https://hackage.haskell.org/package/base-4.14.0.0/docs/Data-Semigroup.html
https://hackage.haskell....
In this video it's going to get theoretical!
Documentation:
https://hackage.haskell.org/package/base-4.14.0.0/docs/Data-Semigroup.html
https://hackage.haskell.org/package/base-4.14.0.0/docs/Data-Monoid.html
Further reading:
https://en.wikipedia.org/wiki/Algebraic_structure
Timestamps:
00:00 - Intro
01:04 - Algebras and their definition
05:10 - Magma definition
05:35 - Semigroup definition
07:18 - Semigroup examples
09:10 - Monoid definition
11:30 - Monoid for [a]
12:08 - Monoids for numerical types
15:24 - What algebraic structures are good for
Support me on Ko-fi:
https://ko-fi.com/phagenlocher
In this video it's going to get theoretical!
Documentation:
https://hackage.haskell.org/package/base-4.14.0.0/docs/Data-Semigroup.html
https://hackage.haskell.org/package/base-4.14.0.0/docs/Data-Monoid.html
Further reading:
https://en.wikipedia.org/wiki/Algebraic_structure
Timestamps:
00:00 - Intro
01:04 - Algebras and their definition
05:10 - Magma definition
05:35 - Semigroup definition
07:18 - Semigroup examples
09:10 - Monoid definition
11:30 - Monoid for [a]
12:08 - Monoids for numerical types
15:24 - What algebraic structures are good for
Support me on Ko-fi:
https://ko-fi.com/phagenlocher
This lecture introduces the concept of algebraic structure, semigroups and monoids.
Access Full Course at: https://packetprep.com/course/set-theory-gate-cs
This lecture introduces the concept of algebraic structure, semigroups and monoids.
Access Full Course at: https://packetprep.com/course/set-theory-gate-cs
This lecture introduces the concept of algebraic structure, semigroups and monoids.
Access Full Course at: https://packetprep.com/course/set-theory-gate-cs
Introduces subgroups, semigroups, and monoids, as well as goes through some examples. A proof of subgroups is also presented.
LIKE AND SHARE THE VIDEO IF IT HE...
Introduces subgroups, semigroups, and monoids, as well as goes through some examples. A proof of subgroups is also presented.
LIKE AND SHARE THE VIDEO IF IT HELPED!
Visit our website: http://bit.ly/1zBPlvm
Subscribe on YouTube: http://bit.ly/1vWiRxW
Like us on Facebook: http://on.fb.me/1vWwDRc
Submit your questions on Reddit: http://bit.ly/1GwZZrP
Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.
Introduces subgroups, semigroups, and monoids, as well as goes through some examples. A proof of subgroups is also presented.
LIKE AND SHARE THE VIDEO IF IT HELPED!
Visit our website: http://bit.ly/1zBPlvm
Subscribe on YouTube: http://bit.ly/1vWiRxW
Like us on Facebook: http://on.fb.me/1vWwDRc
Submit your questions on Reddit: http://bit.ly/1GwZZrP
Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.
👉Subscribe to our new channel:https://www.youtube.com/@varunainashots
Semigroup is an algebraic structure consisting of a set together with an associative binary operation.
►Discrete Mathematics(Complete Playlist):
https://www.youtube.com/playlist?list=PLxCzCOWd7aiH2wwES9vPWsEL6ipTaUSl3
Other subject-wise playlist Links:
--------------------------------------------------------------------------------------------------------------------------------------
►Design and Analysis of algorithms (DAA):
https://www.youtube.com/playlist?list=PLxCzCOWd7aiHcmS4i14bI0VrMbZTUvlTa
►Database Management System:
https://www.youtube.com/playlist?list=PLxCzCOWd7aiFAN6I8CuViBuCdJgiOkT2Y
► Software Engineering:
https://www.youtube.com/playlist?list=PLxCzCOWd7aiEed7SKZBnC6ypFDWYLRvB2
►Artificial Intelligence:
https://www.youtube.com/playlist?list=PLxCzCOWd7aiHGhOHV-nwb0HR5US5GFKFI
►Computer Networks:
https://www.youtube.com/playlist?list=PLxCzCOWd7aiGFBD2-2joCpWOLUrDLvVV_
►Operating System:
https://www.youtube.com/playlist?list=PLxCzCOWd7aiGz9donHRrE9I3Mwn6XdP8p
►Structured Query Language (SQL):
https://www.youtube.com/playlist?list=PLxCzCOWd7aiHqU4HKL7-SITyuSIcD93id
►Digital Logic:
https://www.youtube.com/playlist?list=PLxCzCOWd7aiGmXg4NoX6R31AsC5LeCPHe
►Number System :
https://www.youtube.com/playlist?list=PLxCzCOWd7aiFOet6KEEqDff1aXEGLdUzn
►Theory of Computation :
https://www.youtube.com/playlist?list=PLxCzCOWd7aiFM9Lj5G9G_76adtyb4ef7i
►Cloud Computing & BIG Data:
https://www.youtube.com/playlist?list=PLxCzCOWd7aiHRHVUtR-O52MsrdUSrzuy4
►Programming in C :
https://www.youtube.com/playlist?list=PLxCzCOWd7aiGmiGl_DOuRMJYG8tOVuapB
►Data Structure:
https://www.youtube.com/playlist?list=PLxCzCOWd7aiEwaANNt3OqJPVIxwp2ebiT
►Computer Architecture :
https://www.youtube.com/playlist?list=PLxCzCOWd7aiHMonh3G6QNKq53C6oNXGrX
►Graph Theory :
https://www.youtube.com/playlist?list=PLxCzCOWd7aiG0M5FqjyoqB20Edk0tyzVt
►Compiler Design:
https://www.youtube.com/playlist?list=PLxCzCOWd7aiEKtKSIHYusizkESC42diyc
---------------------------------------------------------------------------------------------------------------------------------------
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--------------------------------------------------------------------------------------------------------------------------------------
►For Any Query, Suggestion or notes contribution:
Email us at: [email protected]
#semigroup#groupTheory#discreteMathematics
Thesis: https://www.researchgate.net/publication/328163392_The_Cayley_type_theorem_for_semigroups
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After talking about magmas we are finally at the point to go further. Introducing Semigroups and commutative bois today we can actually prove, that the natural numbers under addition form an abelian semigroup! Enjoy =)
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Algebraic Structures are another set of useful tools we use in Functional Programming. In this video we will look at 3 basic structures.
Magma is a Set of values with a binary operation that is closed on that Set.
Semigroup is a Magma in which the binary operation is associative.
Monoid is a Semigroup that has Empty or Neutral value.
In this Video:
- Algebraic Structures
- Magma
- Semigroup
- Monoid
Correction:
[1:48] - Real number and division is not a Magma, because dividing real number 12.0 by real number 0.0 doesn't return a real number. Non-zero real numbers and division are Magma though.
PROGRAM NAME :WINTER SCHOOL ON STOCHASTIC ANALYSIS AND CONTROL OF FLUID FLOW
DATES
Monday 03 Dec, 2012 - Thursday 20 Dec, 2012
VENUE
School of Mathematics, Indian Institute of Science Education and Research, Thiruvananthapuram
Stochastic analysis and control of fluid flow problems have seen great mathematical advancement over past two decades. A vast number of physical and engineering systems are encompassed under various flow governing equations. Various applications lie in defense related problems, important one is aero-hydrodynamic drag reduction in aerial, surface and undersea vehicles. Other applications are in atmospheric and ocean data assimilation, plasma fusion and energy-environmental problems.
The aim of the school is to make students and researchers across various organizations working in fluid flow problems well acquainted with the basic and advanced topics in control of partial differential equations (PDEs) arising from fluid dynamics with special emphasis on Navier-Stokes equations in both deterministic and stochastic settings. In the first week, introductory topics from Navier-Stokes equations, stochastic analysis and control of PDEs will be introduced. This would help in building the background for the advanced topics to be covered later on. In the following two weeks, solvability, control and large deviations of Navier-Stokes equations in both deterministic and stochastic settings will be covered. Topics on stochastic Navier-Stokes equations and stochastic Landau-Lifschitz-Gilbert equation on manifolds will also be covered using tools from differential geometry and stochastic analysis.
The winter school will also comprise of one day discussion meeting where a number of Indian senior experts will be invited to present their recent works related to the theme of the school. The discussion meeting aims to overview open problems and possible pathways to tackle them. This would help to enhance research activity in this area within India with the help of foreign experts through collaborations and exchange programmes.
PROGRAM LINK
http://www.icts.res.in/program/control2012
In this video it's going to get theoretical!
Documentation:
https://hackage.haskell.org/package/base-4.14.0.0/docs/Data-Semigroup.html
https://hackage.haskell.org/package/base-4.14.0.0/docs/Data-Monoid.html
Further reading:
https://en.wikipedia.org/wiki/Algebraic_structure
Timestamps:
00:00 - Intro
01:04 - Algebras and their definition
05:10 - Magma definition
05:35 - Semigroup definition
07:18 - Semigroup examples
09:10 - Monoid definition
11:30 - Monoid for [a]
12:08 - Monoids for numerical types
15:24 - What algebraic structures are good for
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This lecture introduces the concept of algebraic structure, semigroups and monoids.
Access Full Course at: https://packetprep.com/course/set-theory-gate-cs
Introduces subgroups, semigroups, and monoids, as well as goes through some examples. A proof of subgroups is also presented.
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In mathematics, a semigroup is an algebraic structure consisting of a set together with an associativebinary operation. The binary operation of a semigroup is most often denoted multiplicatively: x·y, or simply xy, denotes the result of applying the semigroup operation to the ordered pair(x, y). Associativity is formally expressed as that (x·y)·z = x·(y·z) for all x, y and z in the semigroup.
The name "semigroup" originates in the fact that a semigroup generalizes a group by preserving only associativity and closure under the binary operation from the axioms defining a group. From the opposite point of view (of adding rather than removing axioms), a semigroup is an associative magma. As in the case of groups or magmas, the semigroup operation need not be commutative, so x·y is not necessarily equal to y·x; a typical example of associative but non-commutative operation is matrix multiplication. If the semigroup operation is commutative, then the semigroup is called a commutative semigroup or (less often than in the analogous case of groups) it may be called an abelian semigroup.