Éléments de mathématique is a treatise on mathematics by the collective Nicolas Bourbaki, composed of ten books (each divided into one or more chapters). The first volumes were published by Éditions Hermann from 1939 initially in the form of booklets and then as bound volumes. Following a disagreement with the editor, the publication was resumed in the 1970s by the CCLS, and then in the 1980s by Editions Masson. Since 2006, Springer Verlag has republished all the fascicles.
The strange singular "mathématique" in the title is deliberate, to convey the authors' belief that the material is a unity, contrary to what conventional form of the title might suggest. Conversely, the title Éléments d'histoire des mathématiques by the same authors employs the plural to indicate that before Bourbaki, mathematics was a set of scattered disciplines, and that the modern notion of structure has allowed their unification.
The first six volumes follow a logical sequence. The subsequent volumes are dependent on the first six, but not on each other.
In mathematics, an associative algebra is an algebraic structure with compatible operations of addition, multiplication (assumed to be associative), and a scalar multiplication by elements in some field. The addition and multiplication operations together give A the structure of a ring; the addition and scalar multiplication operations together give A the structure of a vector space over K. In this article we will also use the term K-algebra to mean an associative algebra over the field K. A standard first example of a K-algebra is a ring of square matrices over a field K, with the usual matrix multiplication.
In this article associative algebras are assumed to have a multiplicative unit, denoted 1; they are sometimes called unital associative algebras for clarification. In some areas of mathematics this assumption is not made, and we will call such structures non-unital associative algebras. We will also assume that all rings are unital, and all ring homomorphisms are unital.
What’s the Associative Property? | Math with Mr. J
Welcome to “What’s the Associative Property?” with Mr. J! Need help with the associative property? You're in the right place!
Whether you're just starting out, or need a quick refresher, this is the video for you if you're looking for help with the associative property. Mr. J will go through examples of the associative property of addition, the associative property of multiplication, and explain what the associative property is.
Associative Property Videos:
✅ What's the Associative Property? = https://youtu.be/AZpS-im4_Kk
✅ Associative Property of Addition = https://youtu.be/zYh2cCQ0-ZI
✅ Associative Property of Multiplication = https://youtu.be/VhgRPXIdXOc
About Math with Mr. J: This channel offers instructional videos that are directly aligned with math standards. Teachers, parents/gu...
published: 31 Oct 2022
A-Calculus, introduction to associative algebra, 5-4-21 part 1
Here we begin looking at my paper on A-Calculus,
https://arxiv.org/abs/1708.04135
published: 26 May 2021
Equations in free associative algebras and group algebras of hyperbolic groups (GGD/GEAR Seminar)
Olga Kharlampovich (Hunter College of CUNY)
Abstract: We will talk about Diophantine problems for groups and rings and show that equations are undecidable in a free associative algebra and in a group algebra of a free group (or torsion free hyperbolic group) over a field of characteristic zero. This is a surprising result that shows that answers to first-order questions in a free non-abelian group and in its group algebra are completely different. (Joint results with A. Miasnikov)
published: 04 Apr 2016
A-Calculus: real associative algebra and representation theory, 1-23-18, part 1
This algebra video tutorial provides a basic introduction into properties of addition such as the commutative property, associative property, identity property, and the inverse property of addition.
Access Full-Length Premium Videos: https://www.patreon.com/MathScienceTutor
_______________________________________________________________________________________________
Algebra For Beginners: https://www.youtube.com/watch?v=MHeirBPOI6w
Rational and Irrational Numbers: https://www.youtube.com/watch?v=hNk2xr4MUS8
Basic Math Review: https://www.youtube.com/watch?v=T_6Mq6PWoGc
Long Division: https://www.youtube.com...
published: 20 Sep 2022
Abstract Algebra: associative algebra and regular representation, 11-16-18
published: 16 Nov 2018
Associative Property of Addition and Multiplication #Shorts #math #learn #study
published: 01 Dec 2022
MATH 470 CNU Non-Associative Algebras
published: 09 Apr 2020
Harmonic Analysis and Banach Algebras. Lecture 7. A. Pirkovskii
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Associative algebra
In mathematics, an associative algebra is an algebraic structure with compatible operations of addition, multiplication (assumed to be associative), and a scalar multiplication by elements in some field.The addition and multiplication operations together give A the structure of a ring; the addition and scalar multiplication operations together give A the structure of a vector space over K.
-Video is targeted to blind users
Attribution:
Article text available under CC-BY-SA
image source in video
https://www.youtube.com/watch?v=coOONXWuayQ
Welcome to “What’s the Associative Property?” with Mr. J! Need help with the associative property? You're in the right place!
Whether you're just starting out,...
Welcome to “What’s the Associative Property?” with Mr. J! Need help with the associative property? You're in the right place!
Whether you're just starting out, or need a quick refresher, this is the video for you if you're looking for help with the associative property. Mr. J will go through examples of the associative property of addition, the associative property of multiplication, and explain what the associative property is.
Associative Property Videos:
✅ What's the Associative Property? = https://youtu.be/AZpS-im4_Kk
✅ Associative Property of Addition = https://youtu.be/zYh2cCQ0-ZI
✅ Associative Property of Multiplication = https://youtu.be/VhgRPXIdXOc
About Math with Mr. J: This channel offers instructional videos that are directly aligned with math standards. Teachers, parents/guardians, and students from around the world have used this channel to help with math content in many different ways. All material is absolutely free. #MathWithMrJ
Click Here to Subscribe to the Greatest Math Channel On Earth: https://goo.gl/XHTrfY
Follow Mr. J on Twitter: @MrJMath5
Email: [email protected]
Music: https://www.bensound.com/royalty-free-music
Hopefully this video is what you're looking for when it comes to the associative property.
Have a great rest of your day and thanks again for watching! ✌️✌️✌️
✅ Thanks to Aloud, this video has been dubbed into Spanish and Portuguese. #DubbedWithAloud
English
This video has been dubbed into Spanish (United States) and Portuguese (Brazil) using an artificial voice via https://aloud.area120.google.com to increase accessibility. You can change the audio track language in the Settings menu.
Spanish
Este video ha sido doblado al español con voz artificial con https://aloud.area120.google.com para aumentar la accesibilidad. Puede cambiar el idioma de la pista de audio en el menú Configuración.
Portuguese
Este vídeo foi dublado para o português usando uma voz artificial via https://aloud.area120.google.com para melhorar sua acessibilidade. Você pode alterar o idioma do áudio no menu Configurações.
Welcome to “What’s the Associative Property?” with Mr. J! Need help with the associative property? You're in the right place!
Whether you're just starting out, or need a quick refresher, this is the video for you if you're looking for help with the associative property. Mr. J will go through examples of the associative property of addition, the associative property of multiplication, and explain what the associative property is.
Associative Property Videos:
✅ What's the Associative Property? = https://youtu.be/AZpS-im4_Kk
✅ Associative Property of Addition = https://youtu.be/zYh2cCQ0-ZI
✅ Associative Property of Multiplication = https://youtu.be/VhgRPXIdXOc
About Math with Mr. J: This channel offers instructional videos that are directly aligned with math standards. Teachers, parents/guardians, and students from around the world have used this channel to help with math content in many different ways. All material is absolutely free. #MathWithMrJ
Click Here to Subscribe to the Greatest Math Channel On Earth: https://goo.gl/XHTrfY
Follow Mr. J on Twitter: @MrJMath5
Email: [email protected]
Music: https://www.bensound.com/royalty-free-music
Hopefully this video is what you're looking for when it comes to the associative property.
Have a great rest of your day and thanks again for watching! ✌️✌️✌️
✅ Thanks to Aloud, this video has been dubbed into Spanish and Portuguese. #DubbedWithAloud
English
This video has been dubbed into Spanish (United States) and Portuguese (Brazil) using an artificial voice via https://aloud.area120.google.com to increase accessibility. You can change the audio track language in the Settings menu.
Spanish
Este video ha sido doblado al español con voz artificial con https://aloud.area120.google.com para aumentar la accesibilidad. Puede cambiar el idioma de la pista de audio en el menú Configuración.
Portuguese
Este vídeo foi dublado para o português usando uma voz artificial via https://aloud.area120.google.com para melhorar sua acessibilidade. Você pode alterar o idioma do áudio no menu Configurações.
Olga Kharlampovich (Hunter College of CUNY)
Abstract: We will talk about Diophantine problems for groups and rings and show that equations are undecidable in a...
Olga Kharlampovich (Hunter College of CUNY)
Abstract: We will talk about Diophantine problems for groups and rings and show that equations are undecidable in a free associative algebra and in a group algebra of a free group (or torsion free hyperbolic group) over a field of characteristic zero. This is a surprising result that shows that answers to first-order questions in a free non-abelian group and in its group algebra are completely different. (Joint results with A. Miasnikov)
Olga Kharlampovich (Hunter College of CUNY)
Abstract: We will talk about Diophantine problems for groups and rings and show that equations are undecidable in a free associative algebra and in a group algebra of a free group (or torsion free hyperbolic group) over a field of characteristic zero. This is a surprising result that shows that answers to first-order questions in a free non-abelian group and in its group algebra are completely different. (Joint results with A. Miasnikov)
This algebra video tutorial provides a basic introduction into properties of addition such as the commutative property, associative property, identity property,...
This algebra video tutorial provides a basic introduction into properties of addition such as the commutative property, associative property, identity property, and the inverse property of addition.
Access Full-Length Premium Videos: https://www.patreon.com/MathScienceTutor
_______________________________________________________________________________________________
Algebra For Beginners: https://www.youtube.com/watch?v=MHeirBPOI6w
Rational and Irrational Numbers: https://www.youtube.com/watch?v=hNk2xr4MUS8
Basic Math Review: https://www.youtube.com/watch?v=T_6Mq6PWoGc
Long Division: https://www.youtube.com/watch?v=GiiuZ8sfw00
Order of Operations: https://www.youtube.com/watch?v=saTBf8AO4Ok
How To Evaluate Algebraic Expressions: https://www.youtube.com/watch?v=-VCUcRtQjx8
Percentages Made Easy: https://www.youtube.com/watch?v=WYWPuG-8U5Q
Fractions - Basic Introduction: https://www.youtube.com/watch?v=GvLIEiqxS6s
Real Numbers: https://www.youtube.com/watch?v=VEY08fMYmEU
Addition Properties: https://www.youtube.com/watch?v=a0deCn5QNFI
Multiplication Properties: https://www.youtube.com/watch?v=ENDAn9S8U6k
Combining Like Terms: https://www.youtube.com/watch?v=BSCSNAF_aQg
______________________________________________________________________________________________
How To Solve Linear Equations: https://www.youtube.com/watch?v=7DPWeBszNSM
How To Graph Ordered Pairs: https://www.youtube.com/watch?v=yaOf7ioCgFQ
Distance Between Two Points: https://www.youtube.com/watch?v=CWUr6Jo6tag
Finding The Slope Given Two Points: https://www.youtube.com/watch?v=Id_UqMLAXzY
How To Graph Linear Equations: https://www.youtube.com/watch?v=y8rNfztyoyU
Writing Linear Equations: https://www.youtube.com/watch?v=CN4-ty9e5Jk
Linear Equations Review: https://www.youtube.com/watch?v=Ft2_QtXAnh8
______________________________________________________________________________________________
Direct Variation - Introduction: https://www.youtube.com/watch?v=vh8Bs1iSrag
Plotting Inequalities on a Number Line: https://www.youtube.com/watch?v=KkiYqww4eg0
How To Solve Linear Inequalities: https://www.youtube.com/watch?v=rIl2USa8XPY
Solving Absolute Value Equations: https://www.youtube.com/watch?v=sCcsnuwihEw
Graphing Absolute Value Functions: https://www.youtube.com/watch?v=ld4UD98yHio
Graphing Linear Inequalities In 2 Variables: https://www.youtube.com/watch?v=cskHdgwB5k8
Graphing Systems of Linear Inequalities: https://www.youtube.com/watch?v=FWbcKade3rw
______________________________________________________________________________________________
Introduction to Exponents: https://www.youtube.com/watch?v=ZtTO8uUGy2Y
Simplifying Exponents: https://www.youtube.com/watch?v=Zt2fdy3zrZU
Negative Exponents: https://www.youtube.com/watch?v=TKj8kEofbAw
Fractional Exponents: https://www.youtube.com/watch?v=GipavLCnke0
Exponentiation and Tetration: https://www.youtube.com/watch?v=S3s9cWWnZj0
______________________________________________________________________________________________
Introduction to Polynomials: https://www.youtube.com/watch?v=Rxx4HepHI_E
Adding & Multiplying Polynomials: https://www.youtube.com/watch?v=ZvL9aDGNHqA
Dividing Polynomials By Monomials: https://www.youtube.com/watch?v=KyHXWAp7UGo
Factoring Trinomials & Polynomials: https://www.youtube.com/watch?v=9MUDAr1PnlE
Systems of Equations: https://www.youtube.com/watch?v=oKqtgz2eo-Y
Solving Quadratic Equations By Factoring: https://www.youtube.com/watch?v=qeByhTF8WEw
Simplifying Rational Expressions: https://www.youtube.com/watch?v=uVpsz-xpnPo
Simplifying Radical Expressions: https://www.youtube.com/watch?v=Llrngdh3Rrg
Imaginary Numbers: https://www.youtube.com/watch?v=vRJqPo_zcnQ
Logarithms: https://www.youtube.com/watch?v=kqVpPSzkTYA
This algebra video tutorial provides a basic introduction into properties of addition such as the commutative property, associative property, identity property, and the inverse property of addition.
Access Full-Length Premium Videos: https://www.patreon.com/MathScienceTutor
_______________________________________________________________________________________________
Algebra For Beginners: https://www.youtube.com/watch?v=MHeirBPOI6w
Rational and Irrational Numbers: https://www.youtube.com/watch?v=hNk2xr4MUS8
Basic Math Review: https://www.youtube.com/watch?v=T_6Mq6PWoGc
Long Division: https://www.youtube.com/watch?v=GiiuZ8sfw00
Order of Operations: https://www.youtube.com/watch?v=saTBf8AO4Ok
How To Evaluate Algebraic Expressions: https://www.youtube.com/watch?v=-VCUcRtQjx8
Percentages Made Easy: https://www.youtube.com/watch?v=WYWPuG-8U5Q
Fractions - Basic Introduction: https://www.youtube.com/watch?v=GvLIEiqxS6s
Real Numbers: https://www.youtube.com/watch?v=VEY08fMYmEU
Addition Properties: https://www.youtube.com/watch?v=a0deCn5QNFI
Multiplication Properties: https://www.youtube.com/watch?v=ENDAn9S8U6k
Combining Like Terms: https://www.youtube.com/watch?v=BSCSNAF_aQg
______________________________________________________________________________________________
How To Solve Linear Equations: https://www.youtube.com/watch?v=7DPWeBszNSM
How To Graph Ordered Pairs: https://www.youtube.com/watch?v=yaOf7ioCgFQ
Distance Between Two Points: https://www.youtube.com/watch?v=CWUr6Jo6tag
Finding The Slope Given Two Points: https://www.youtube.com/watch?v=Id_UqMLAXzY
How To Graph Linear Equations: https://www.youtube.com/watch?v=y8rNfztyoyU
Writing Linear Equations: https://www.youtube.com/watch?v=CN4-ty9e5Jk
Linear Equations Review: https://www.youtube.com/watch?v=Ft2_QtXAnh8
______________________________________________________________________________________________
Direct Variation - Introduction: https://www.youtube.com/watch?v=vh8Bs1iSrag
Plotting Inequalities on a Number Line: https://www.youtube.com/watch?v=KkiYqww4eg0
How To Solve Linear Inequalities: https://www.youtube.com/watch?v=rIl2USa8XPY
Solving Absolute Value Equations: https://www.youtube.com/watch?v=sCcsnuwihEw
Graphing Absolute Value Functions: https://www.youtube.com/watch?v=ld4UD98yHio
Graphing Linear Inequalities In 2 Variables: https://www.youtube.com/watch?v=cskHdgwB5k8
Graphing Systems of Linear Inequalities: https://www.youtube.com/watch?v=FWbcKade3rw
______________________________________________________________________________________________
Introduction to Exponents: https://www.youtube.com/watch?v=ZtTO8uUGy2Y
Simplifying Exponents: https://www.youtube.com/watch?v=Zt2fdy3zrZU
Negative Exponents: https://www.youtube.com/watch?v=TKj8kEofbAw
Fractional Exponents: https://www.youtube.com/watch?v=GipavLCnke0
Exponentiation and Tetration: https://www.youtube.com/watch?v=S3s9cWWnZj0
______________________________________________________________________________________________
Introduction to Polynomials: https://www.youtube.com/watch?v=Rxx4HepHI_E
Adding & Multiplying Polynomials: https://www.youtube.com/watch?v=ZvL9aDGNHqA
Dividing Polynomials By Monomials: https://www.youtube.com/watch?v=KyHXWAp7UGo
Factoring Trinomials & Polynomials: https://www.youtube.com/watch?v=9MUDAr1PnlE
Systems of Equations: https://www.youtube.com/watch?v=oKqtgz2eo-Y
Solving Quadratic Equations By Factoring: https://www.youtube.com/watch?v=qeByhTF8WEw
Simplifying Rational Expressions: https://www.youtube.com/watch?v=uVpsz-xpnPo
Simplifying Radical Expressions: https://www.youtube.com/watch?v=Llrngdh3Rrg
Imaginary Numbers: https://www.youtube.com/watch?v=vRJqPo_zcnQ
Logarithms: https://www.youtube.com/watch?v=kqVpPSzkTYA
If you find our videos helpful you can support us by buying something from amazon.
https://www.amazon.com/?tag=wiki-audio-20
Associative algebra
In mathemat...
If you find our videos helpful you can support us by buying something from amazon.
https://www.amazon.com/?tag=wiki-audio-20
Associative algebra
In mathematics, an associative algebra is an algebraic structure with compatible operations of addition, multiplication (assumed to be associative), and a scalar multiplication by elements in some field.The addition and multiplication operations together give A the structure of a ring; the addition and scalar multiplication operations together give A the structure of a vector space over K.
-Video is targeted to blind users
Attribution:
Article text available under CC-BY-SA
image source in video
https://www.youtube.com/watch?v=coOONXWuayQ
If you find our videos helpful you can support us by buying something from amazon.
https://www.amazon.com/?tag=wiki-audio-20
Associative algebra
In mathematics, an associative algebra is an algebraic structure with compatible operations of addition, multiplication (assumed to be associative), and a scalar multiplication by elements in some field.The addition and multiplication operations together give A the structure of a ring; the addition and scalar multiplication operations together give A the structure of a vector space over K.
-Video is targeted to blind users
Attribution:
Article text available under CC-BY-SA
image source in video
https://www.youtube.com/watch?v=coOONXWuayQ
Welcome to “What’s the Associative Property?” with Mr. J! Need help with the associative property? You're in the right place!
Whether you're just starting out, or need a quick refresher, this is the video for you if you're looking for help with the associative property. Mr. J will go through examples of the associative property of addition, the associative property of multiplication, and explain what the associative property is.
Associative Property Videos:
✅ What's the Associative Property? = https://youtu.be/AZpS-im4_Kk
✅ Associative Property of Addition = https://youtu.be/zYh2cCQ0-ZI
✅ Associative Property of Multiplication = https://youtu.be/VhgRPXIdXOc
About Math with Mr. J: This channel offers instructional videos that are directly aligned with math standards. Teachers, parents/guardians, and students from around the world have used this channel to help with math content in many different ways. All material is absolutely free. #MathWithMrJ
Click Here to Subscribe to the Greatest Math Channel On Earth: https://goo.gl/XHTrfY
Follow Mr. J on Twitter: @MrJMath5
Email: [email protected]
Music: https://www.bensound.com/royalty-free-music
Hopefully this video is what you're looking for when it comes to the associative property.
Have a great rest of your day and thanks again for watching! ✌️✌️✌️
✅ Thanks to Aloud, this video has been dubbed into Spanish and Portuguese. #DubbedWithAloud
English
This video has been dubbed into Spanish (United States) and Portuguese (Brazil) using an artificial voice via https://aloud.area120.google.com to increase accessibility. You can change the audio track language in the Settings menu.
Spanish
Este video ha sido doblado al español con voz artificial con https://aloud.area120.google.com para aumentar la accesibilidad. Puede cambiar el idioma de la pista de audio en el menú Configuración.
Portuguese
Este vídeo foi dublado para o português usando uma voz artificial via https://aloud.area120.google.com para melhorar sua acessibilidade. Você pode alterar o idioma do áudio no menu Configurações.
Olga Kharlampovich (Hunter College of CUNY)
Abstract: We will talk about Diophantine problems for groups and rings and show that equations are undecidable in a free associative algebra and in a group algebra of a free group (or torsion free hyperbolic group) over a field of characteristic zero. This is a surprising result that shows that answers to first-order questions in a free non-abelian group and in its group algebra are completely different. (Joint results with A. Miasnikov)
This algebra video tutorial provides a basic introduction into properties of addition such as the commutative property, associative property, identity property, and the inverse property of addition.
Access Full-Length Premium Videos: https://www.patreon.com/MathScienceTutor
_______________________________________________________________________________________________
Algebra For Beginners: https://www.youtube.com/watch?v=MHeirBPOI6w
Rational and Irrational Numbers: https://www.youtube.com/watch?v=hNk2xr4MUS8
Basic Math Review: https://www.youtube.com/watch?v=T_6Mq6PWoGc
Long Division: https://www.youtube.com/watch?v=GiiuZ8sfw00
Order of Operations: https://www.youtube.com/watch?v=saTBf8AO4Ok
How To Evaluate Algebraic Expressions: https://www.youtube.com/watch?v=-VCUcRtQjx8
Percentages Made Easy: https://www.youtube.com/watch?v=WYWPuG-8U5Q
Fractions - Basic Introduction: https://www.youtube.com/watch?v=GvLIEiqxS6s
Real Numbers: https://www.youtube.com/watch?v=VEY08fMYmEU
Addition Properties: https://www.youtube.com/watch?v=a0deCn5QNFI
Multiplication Properties: https://www.youtube.com/watch?v=ENDAn9S8U6k
Combining Like Terms: https://www.youtube.com/watch?v=BSCSNAF_aQg
______________________________________________________________________________________________
How To Solve Linear Equations: https://www.youtube.com/watch?v=7DPWeBszNSM
How To Graph Ordered Pairs: https://www.youtube.com/watch?v=yaOf7ioCgFQ
Distance Between Two Points: https://www.youtube.com/watch?v=CWUr6Jo6tag
Finding The Slope Given Two Points: https://www.youtube.com/watch?v=Id_UqMLAXzY
How To Graph Linear Equations: https://www.youtube.com/watch?v=y8rNfztyoyU
Writing Linear Equations: https://www.youtube.com/watch?v=CN4-ty9e5Jk
Linear Equations Review: https://www.youtube.com/watch?v=Ft2_QtXAnh8
______________________________________________________________________________________________
Direct Variation - Introduction: https://www.youtube.com/watch?v=vh8Bs1iSrag
Plotting Inequalities on a Number Line: https://www.youtube.com/watch?v=KkiYqww4eg0
How To Solve Linear Inequalities: https://www.youtube.com/watch?v=rIl2USa8XPY
Solving Absolute Value Equations: https://www.youtube.com/watch?v=sCcsnuwihEw
Graphing Absolute Value Functions: https://www.youtube.com/watch?v=ld4UD98yHio
Graphing Linear Inequalities In 2 Variables: https://www.youtube.com/watch?v=cskHdgwB5k8
Graphing Systems of Linear Inequalities: https://www.youtube.com/watch?v=FWbcKade3rw
______________________________________________________________________________________________
Introduction to Exponents: https://www.youtube.com/watch?v=ZtTO8uUGy2Y
Simplifying Exponents: https://www.youtube.com/watch?v=Zt2fdy3zrZU
Negative Exponents: https://www.youtube.com/watch?v=TKj8kEofbAw
Fractional Exponents: https://www.youtube.com/watch?v=GipavLCnke0
Exponentiation and Tetration: https://www.youtube.com/watch?v=S3s9cWWnZj0
______________________________________________________________________________________________
Introduction to Polynomials: https://www.youtube.com/watch?v=Rxx4HepHI_E
Adding & Multiplying Polynomials: https://www.youtube.com/watch?v=ZvL9aDGNHqA
Dividing Polynomials By Monomials: https://www.youtube.com/watch?v=KyHXWAp7UGo
Factoring Trinomials & Polynomials: https://www.youtube.com/watch?v=9MUDAr1PnlE
Systems of Equations: https://www.youtube.com/watch?v=oKqtgz2eo-Y
Solving Quadratic Equations By Factoring: https://www.youtube.com/watch?v=qeByhTF8WEw
Simplifying Rational Expressions: https://www.youtube.com/watch?v=uVpsz-xpnPo
Simplifying Radical Expressions: https://www.youtube.com/watch?v=Llrngdh3Rrg
Imaginary Numbers: https://www.youtube.com/watch?v=vRJqPo_zcnQ
Logarithms: https://www.youtube.com/watch?v=kqVpPSzkTYA
If you find our videos helpful you can support us by buying something from amazon.
https://www.amazon.com/?tag=wiki-audio-20
Associative algebra
In mathematics, an associative algebra is an algebraic structure with compatible operations of addition, multiplication (assumed to be associative), and a scalar multiplication by elements in some field.The addition and multiplication operations together give A the structure of a ring; the addition and scalar multiplication operations together give A the structure of a vector space over K.
-Video is targeted to blind users
Attribution:
Article text available under CC-BY-SA
image source in video
https://www.youtube.com/watch?v=coOONXWuayQ
A mathematician who solved a fundamental problem in algebraic geometry that many others had tried to decode for over ... She earned her PhD with commutative algebra as her specialization from ISI later.
... recognised by the jury, while Bhatt was awarded for his contributions to arithmetic geometry and commutative algebra.</p>.<p>Thattai’s work in evolutionary cell biology won him the honour.
He started his education career in Leander’s Vista Ridge High School, teaching algebra I and geometry for two years. “My principal there encouraged me to prepare for being a principal, so I commuted to ...
... algebraic geometry. In algebraic number theory the Shafarevich–Weil theorem extends the commutative reciprocity map to the case of Galois groups which are extensions of abelian groups by finite groups.
Gupta’s PhD research was in commutative algebra, an area of number theory that studies mathematical objects known as commutative rings. She is now also known for her work in affine algebraic geometry ... For example, addition is commutative.
On Dec ... It so happens that she is 21 herself ... The usual suspects ... An expert in commutative algebra and affine algebraic geometry, Gupta has also bagged the Shanti Swarup Bhatnagar award in 2019, one of the highest recognitions in Indian science ... .
She received the prize for her outstanding work in affine algebraic geometry and commutative algebra, in particular for her solution to the Zariski cancellation problem for affine spaces ... algebra.
For the uninitiated, Neena also happens to be a mathematician at the Indian Statistical Institute in Kolkata and he had won the award for her outstanding work in affine algebraic geometry and commutative algebra.