Non-Commutative Algebra bookBook recommendation for Abstract AlgebraWhich one to choose between Lang and Dummit FooteBook recommendations for a large number of topicsShortest abstract algebra bookGood algebra book to cover these topics?Textbook on Abstract Algebra - a specific requestAlternatives to Dummit and Foote for a text in AlgebraRecommendation for a research topic relating Algebra and other topics.Book recommendation for Hopf algebrasV. Lebesgue counting points on hyperspheres - Use in Algebra?
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Non-Commutative Algebra book
Book recommendation for Abstract AlgebraWhich one to choose between Lang and Dummit FooteBook recommendations for a large number of topicsShortest abstract algebra bookGood algebra book to cover these topics?Textbook on Abstract Algebra - a specific requestAlternatives to Dummit and Foote for a text in AlgebraRecommendation for a research topic relating Algebra and other topics.Book recommendation for Hopf algebrasV. Lebesgue counting points on hyperspheres - Use in Algebra?
5
$begingroup$
I am currently having a Master in topics such as Algebra, Geometry and Number Theory and recently I started studying Representation Theory where I've seen definition, theorems and propositions concerning rings that are non-commutative in general. I am wondering if there's any "standard" book(s) that can introduce me to the theory of non-commutative algebra.
book-recommendation noncommutative-algebra
edited 4 hours ago
J. W. Tanner
4,3301320
asked 4 hours ago
CorneliusCornelius
32017
$endgroup$
add a comment |
5
$begingroup$
I am currently having a Master in topics such as Algebra, Geometry and Number Theory and recently I started studying Representation Theory where I've seen definition, theorems and propositions concerning rings that are non-commutative in general. I am wondering if there's any "standard" book(s) that can introduce me to the theory of non-commutative algebra.
book-recommendation noncommutative-algebra
edited 4 hours ago
J. W. Tanner
4,3301320
asked 4 hours ago
CorneliusCornelius
32017
$endgroup$
$begingroup$
Lam's "A First Course in Noncommutative Rings" and "Lectures on Modules and Rings" are both gems. (The former is the more introductory of the two, as the name suggests.)
$endgroup$
– Alex Wertheim
4 hours ago
$begingroup$
I think I will go with "A First Course in Noncommutative Rings" by Lam. Thank you Alex for your answer and I look forward for more book recommendations.
$endgroup$
– Cornelius
3 hours ago
add a comment |
5
5
5
1
$begingroup$
I am currently having a Master in topics such as Algebra, Geometry and Number Theory and recently I started studying Representation Theory where I've seen definition, theorems and propositions concerning rings that are non-commutative in general. I am wondering if there's any "standard" book(s) that can introduce me to the theory of non-commutative algebra.
book-recommendation noncommutative-algebra
edited 4 hours ago
J. W. Tanner
4,3301320
asked 4 hours ago
CorneliusCornelius
32017
$endgroup$
I am currently having a Master in topics such as Algebra, Geometry and Number Theory and recently I started studying Representation Theory where I've seen definition, theorems and propositions concerning rings that are non-commutative in general. I am wondering if there's any "standard" book(s) that can introduce me to the theory of non-commutative algebra.
book-recommendation noncommutative-algebra
book-recommendation noncommutative-algebra
edited 4 hours ago
J. W. Tanner
4,3301320
asked 4 hours ago
CorneliusCornelius
32017
edited 4 hours ago
J. W. Tanner
4,3301320
asked 4 hours ago
CorneliusCornelius
32017
edited 4 hours ago
J. W. Tanner
4,3301320
edited 4 hours ago
J. W. Tanner
4,3301320
edited 4 hours ago
J. W. Tanner
4,3301320
4,3301320
asked 4 hours ago
CorneliusCornelius
32017
asked 4 hours ago
CorneliusCornelius
32017
asked 4 hours ago
CorneliusCornelius
32017
32017
$begingroup$
Lam's "A First Course in Noncommutative Rings" and "Lectures on Modules and Rings" are both gems. (The former is the more introductory of the two, as the name suggests.)
$endgroup$
– Alex Wertheim
4 hours ago
$begingroup$
I think I will go with "A First Course in Noncommutative Rings" by Lam. Thank you Alex for your answer and I look forward for more book recommendations.
$endgroup$
– Cornelius
3 hours ago
add a comment |
$begingroup$
Lam's "A First Course in Noncommutative Rings" and "Lectures on Modules and Rings" are both gems. (The former is the more introductory of the two, as the name suggests.)
$endgroup$
– Alex Wertheim
4 hours ago
$begingroup$
I think I will go with "A First Course in Noncommutative Rings" by Lam. Thank you Alex for your answer and I look forward for more book recommendations.
$endgroup$
– Cornelius
3 hours ago
$begingroup$
Lam's "A First Course in Noncommutative Rings" and "Lectures on Modules and Rings" are both gems. (The former is the more introductory of the two, as the name suggests.)
$endgroup$
– Alex Wertheim
4 hours ago
$begingroup$
Lam's "A First Course in Noncommutative Rings" and "Lectures on Modules and Rings" are both gems. (The former is the more introductory of the two, as the name suggests.)
$endgroup$
– Alex Wertheim
4 hours ago
$begingroup$
I think I will go with "A First Course in Noncommutative Rings" by Lam. Thank you Alex for your answer and I look forward for more book recommendations.
$endgroup$
– Cornelius
3 hours ago
$begingroup$
I think I will go with "A First Course in Noncommutative Rings" by Lam. Thank you Alex for your answer and I look forward for more book recommendations.
$endgroup$
– Cornelius
3 hours ago
add a comment |
1 Answer
1
active
oldest
votes
4
$begingroup$
Ones I have used extensively
First Course in Noncommutative Rings by T.Y. Lam- Isaacs Graduate algebra
Basic abstract algebra by P. B. Bhattacharya, S. K. Jain & Nagpaul
Others often mentioned as standard (but I did not really use)
- McCoy's The theory of rings
- Dummit and Foote's Abstract algebra
- Hungerford's Algebra
Noncommutative rings by Herstein
Ones I have not used extensively but would recommend
- Lambek's Lectures on rings and modules
- Jacobson's Basic Algebra volumes I and II
Books that are a step up from an introduction
- Anderson and Fuller's Rings and categories of modules
- Lam's Lectures on modules and rings
- Louis Rowen's books and Carl Faith's books on algebra and ring theory.
answered 3 hours ago
rschwiebrschwieb
108k12103252
$endgroup$
$begingroup$
A good method might just be to search for "Artin-Wedderburn theorem" in google books and just pick anything promising from the tons of hits that come back. That is a standard introductory topic in noncommutative algebra.
$endgroup$
– rschwieb
3 hours ago
$begingroup$
Wow, thats a nice collection to have. I will get as many of them as possible and look around while studying. Thanks rschwieb!
$endgroup$
– Cornelius
3 hours ago
$begingroup$
Studying Artin-Wedderburn theorem for representation theory was exactly the spark tha led me to search for more into Non-Commutative Algebra
$endgroup$
– Cornelius
3 hours ago
$begingroup$
If I can make an addition, I'd say that Farb and Dennis' Noncommutative Algebra is pretty good as well. It's treatment of semisimplicity and the Jacobson radical are quite nice, and its approach to central simple division algebras is all based on going to the Brauer Group and seeing $H^2$ from a different light than the usual Galois cohomological perspective. They also focus on homological techniques, which are nice to see and useful if you're into $p$-adic representation theory.
$endgroup$
– Geoff
1 hour ago
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
4
$begingroup$
Ones I have used extensively
First Course in Noncommutative Rings by T.Y. Lam- Isaacs Graduate algebra
Basic abstract algebra by P. B. Bhattacharya, S. K. Jain & Nagpaul
Others often mentioned as standard (but I did not really use)
- McCoy's The theory of rings
- Dummit and Foote's Abstract algebra
- Hungerford's Algebra
Noncommutative rings by Herstein
Ones I have not used extensively but would recommend
- Lambek's Lectures on rings and modules
- Jacobson's Basic Algebra volumes I and II
Books that are a step up from an introduction
- Anderson and Fuller's Rings and categories of modules
- Lam's Lectures on modules and rings
- Louis Rowen's books and Carl Faith's books on algebra and ring theory.
answered 3 hours ago
rschwiebrschwieb
108k12103252
$endgroup$
$begingroup$
A good method might just be to search for "Artin-Wedderburn theorem" in google books and just pick anything promising from the tons of hits that come back. That is a standard introductory topic in noncommutative algebra.
$endgroup$
– rschwieb
3 hours ago
$begingroup$
Wow, thats a nice collection to have. I will get as many of them as possible and look around while studying. Thanks rschwieb!
$endgroup$
– Cornelius
3 hours ago
$begingroup$
Studying Artin-Wedderburn theorem for representation theory was exactly the spark tha led me to search for more into Non-Commutative Algebra
$endgroup$
– Cornelius
3 hours ago
$begingroup$
If I can make an addition, I'd say that Farb and Dennis' Noncommutative Algebra is pretty good as well. It's treatment of semisimplicity and the Jacobson radical are quite nice, and its approach to central simple division algebras is all based on going to the Brauer Group and seeing $H^2$ from a different light than the usual Galois cohomological perspective. They also focus on homological techniques, which are nice to see and useful if you're into $p$-adic representation theory.
$endgroup$
– Geoff
1 hour ago
add a comment |
4
$begingroup$
Ones I have used extensively
First Course in Noncommutative Rings by T.Y. Lam- Isaacs Graduate algebra
Basic abstract algebra by P. B. Bhattacharya, S. K. Jain & Nagpaul
Others often mentioned as standard (but I did not really use)
- McCoy's The theory of rings
- Dummit and Foote's Abstract algebra
- Hungerford's Algebra
Noncommutative rings by Herstein
Ones I have not used extensively but would recommend
- Lambek's Lectures on rings and modules
- Jacobson's Basic Algebra volumes I and II
Books that are a step up from an introduction
- Anderson and Fuller's Rings and categories of modules
- Lam's Lectures on modules and rings
- Louis Rowen's books and Carl Faith's books on algebra and ring theory.
answered 3 hours ago
rschwiebrschwieb
108k12103252
$endgroup$
$begingroup$
A good method might just be to search for "Artin-Wedderburn theorem" in google books and just pick anything promising from the tons of hits that come back. That is a standard introductory topic in noncommutative algebra.
$endgroup$
– rschwieb
3 hours ago
$begingroup$
Wow, thats a nice collection to have. I will get as many of them as possible and look around while studying. Thanks rschwieb!
$endgroup$
– Cornelius
3 hours ago
$begingroup$
Studying Artin-Wedderburn theorem for representation theory was exactly the spark tha led me to search for more into Non-Commutative Algebra
$endgroup$
– Cornelius
3 hours ago
$begingroup$
If I can make an addition, I'd say that Farb and Dennis' Noncommutative Algebra is pretty good as well. It's treatment of semisimplicity and the Jacobson radical are quite nice, and its approach to central simple division algebras is all based on going to the Brauer Group and seeing $H^2$ from a different light than the usual Galois cohomological perspective. They also focus on homological techniques, which are nice to see and useful if you're into $p$-adic representation theory.
$endgroup$
– Geoff
1 hour ago
add a comment |
4
4
4
$begingroup$
Ones I have used extensively
First Course in Noncommutative Rings by T.Y. Lam- Isaacs Graduate algebra
Basic abstract algebra by P. B. Bhattacharya, S. K. Jain & Nagpaul
Others often mentioned as standard (but I did not really use)
- McCoy's The theory of rings
- Dummit and Foote's Abstract algebra
- Hungerford's Algebra
Noncommutative rings by Herstein
Ones I have not used extensively but would recommend
- Lambek's Lectures on rings and modules
- Jacobson's Basic Algebra volumes I and II
Books that are a step up from an introduction
- Anderson and Fuller's Rings and categories of modules
- Lam's Lectures on modules and rings
- Louis Rowen's books and Carl Faith's books on algebra and ring theory.
answered 3 hours ago
rschwiebrschwieb
108k12103252
$endgroup$
Ones I have used extensively
First Course in Noncommutative Rings by T.Y. Lam- Isaacs Graduate algebra
Basic abstract algebra by P. B. Bhattacharya, S. K. Jain & Nagpaul
Others often mentioned as standard (but I did not really use)
- McCoy's The theory of rings
- Dummit and Foote's Abstract algebra
- Hungerford's Algebra
Noncommutative rings by Herstein
Ones I have not used extensively but would recommend
- Lambek's Lectures on rings and modules
- Jacobson's Basic Algebra volumes I and II
Books that are a step up from an introduction
- Anderson and Fuller's Rings and categories of modules
- Lam's Lectures on modules and rings
- Louis Rowen's books and Carl Faith's books on algebra and ring theory.
answered 3 hours ago
rschwiebrschwieb
108k12103252
edited 3 hours ago
answered 3 hours ago
rschwiebrschwieb
108k12103252
answered 3 hours ago
rschwiebrschwieb
108k12103252
answered 3 hours ago
rschwiebrschwieb
108k12103252
108k12103252
$begingroup$
A good method might just be to search for "Artin-Wedderburn theorem" in google books and just pick anything promising from the tons of hits that come back. That is a standard introductory topic in noncommutative algebra.
$endgroup$
– rschwieb
3 hours ago
$begingroup$
Wow, thats a nice collection to have. I will get as many of them as possible and look around while studying. Thanks rschwieb!
$endgroup$
– Cornelius
3 hours ago
$begingroup$
Studying Artin-Wedderburn theorem for representation theory was exactly the spark tha led me to search for more into Non-Commutative Algebra
$endgroup$
– Cornelius
3 hours ago
$begingroup$
If I can make an addition, I'd say that Farb and Dennis' Noncommutative Algebra is pretty good as well. It's treatment of semisimplicity and the Jacobson radical are quite nice, and its approach to central simple division algebras is all based on going to the Brauer Group and seeing $H^2$ from a different light than the usual Galois cohomological perspective. They also focus on homological techniques, which are nice to see and useful if you're into $p$-adic representation theory.
$endgroup$
– Geoff
1 hour ago
add a comment |
$begingroup$
A good method might just be to search for "Artin-Wedderburn theorem" in google books and just pick anything promising from the tons of hits that come back. That is a standard introductory topic in noncommutative algebra.
$endgroup$
– rschwieb
3 hours ago
$begingroup$
Wow, thats a nice collection to have. I will get as many of them as possible and look around while studying. Thanks rschwieb!
$endgroup$
– Cornelius
3 hours ago
$begingroup$
Studying Artin-Wedderburn theorem for representation theory was exactly the spark tha led me to search for more into Non-Commutative Algebra
$endgroup$
– Cornelius
3 hours ago
$begingroup$
If I can make an addition, I'd say that Farb and Dennis' Noncommutative Algebra is pretty good as well. It's treatment of semisimplicity and the Jacobson radical are quite nice, and its approach to central simple division algebras is all based on going to the Brauer Group and seeing $H^2$ from a different light than the usual Galois cohomological perspective. They also focus on homological techniques, which are nice to see and useful if you're into $p$-adic representation theory.
$endgroup$
– Geoff
1 hour ago
$begingroup$
A good method might just be to search for "Artin-Wedderburn theorem" in google books and just pick anything promising from the tons of hits that come back. That is a standard introductory topic in noncommutative algebra.
$endgroup$
– rschwieb
3 hours ago
$begingroup$
A good method might just be to search for "Artin-Wedderburn theorem" in google books and just pick anything promising from the tons of hits that come back. That is a standard introductory topic in noncommutative algebra.
$endgroup$
– rschwieb
3 hours ago
$begingroup$
Wow, thats a nice collection to have. I will get as many of them as possible and look around while studying. Thanks rschwieb!
$endgroup$
– Cornelius
3 hours ago
$begingroup$
Wow, thats a nice collection to have. I will get as many of them as possible and look around while studying. Thanks rschwieb!
$endgroup$
– Cornelius
3 hours ago
$begingroup$
Studying Artin-Wedderburn theorem for representation theory was exactly the spark tha led me to search for more into Non-Commutative Algebra
$endgroup$
– Cornelius
3 hours ago
$begingroup$
Studying Artin-Wedderburn theorem for representation theory was exactly the spark tha led me to search for more into Non-Commutative Algebra
$endgroup$
– Cornelius
3 hours ago
$begingroup$
If I can make an addition, I'd say that Farb and Dennis' Noncommutative Algebra is pretty good as well. It's treatment of semisimplicity and the Jacobson radical are quite nice, and its approach to central simple division algebras is all based on going to the Brauer Group and seeing $H^2$ from a different light than the usual Galois cohomological perspective. They also focus on homological techniques, which are nice to see and useful if you're into $p$-adic representation theory.
$endgroup$
– Geoff
1 hour ago
$begingroup$
If I can make an addition, I'd say that Farb and Dennis' Noncommutative Algebra is pretty good as well. It's treatment of semisimplicity and the Jacobson radical are quite nice, and its approach to central simple division algebras is all based on going to the Brauer Group and seeing $H^2$ from a different light than the usual Galois cohomological perspective. They also focus on homological techniques, which are nice to see and useful if you're into $p$-adic representation theory.
$endgroup$
– Geoff
1 hour ago
add a comment |
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$begingroup$
Lam's "A First Course in Noncommutative Rings" and "Lectures on Modules and Rings" are both gems. (The former is the more introductory of the two, as the name suggests.)
$endgroup$
– Alex Wertheim
4 hours ago
$begingroup$
I think I will go with "A First Course in Noncommutative Rings" by Lam. Thank you Alex for your answer and I look forward for more book recommendations.
$endgroup$
– Cornelius
3 hours ago