This new book can be read independently from the first volume and may be used for lecturing, seminar- and self-study, or for general reference. It focuses more on specific topics in order to introduce readers to a wealth of basic and useful ideas without the hindrance of heavy machinery or undue abstractions. User-friendly with its abundance of examples illustrating the theory at virtually every step, the volume contains a large number of carefully chosen exercises to provide newcomers with practice, while offering a rich additional source of information to experts. A direct approach is used in order to present the material in an efficient and economic way, thereby introducing readers to a considerable amount of interesting ring theory without being dragged through endless preparatory material.
Lectures on Modules and Rings
and over one million other books are available for Amazon Kindle.
Learn more
FREE Two-Day Shipping for Students. Learn more |
| |||||||||||||||
 Sell Back Your Copy for $6.07
Whether you buy it new on Amazon for $61.32 or somewhere else, you can sell it back through our Book Trade-In Program at the current price of $6.07.
New Price$61.32
Trade-in Price$6.07
Price after
Trade-in$55.25 |
Book Description
Special Offers and Product Promotions
- Buy $50 in qualifying physical textbooks, get $5 in Amazon MP3 Credit. Here's how (restrictions apply)
Frequently Bought Together
Editorial Reviews
Review
"As in the previous book, the presentation is extremely clear and incisive and the exercises are both interesting and challenging. Without a doubt, the book could indeed serve as a textbook for a very good---though definitely formidable---graduate course in ring theory. The author is the first to admit, in his introduction, that he is far from having covered all of the interesting topics in noncommutative ring theory. Therefore, given the high level of presentation of the two books he has already published, one can only hope that a third volume will be in the offing, despite his "solemn pledge" to the contrary."--MATHEMATICAL REVIEWS
Product Details
Would you like to update product info or give feedback on images?
|
More About the Author
Discover books, learn about writers, read author blogs, and more.
Customer Reviews
|
Share your thoughts with other customers:
|
||||||||||||||||||||||
|
Most Helpful Customer Reviews
1 of 1 people found the following review helpful:
5.0 out of 5 stars
Lectures on Modules and rings (GTM 189),
By André Leroy "André" (Europe) - See all my reviews
This review is from: Lectures on Modules and Rings (Graduate Texts in Mathematics 189) (Hardcover)
This is an excellent book written by a top mathematician with an exceptional
pedagogical style. The Chapter are presented with their historical background, prerequisites are explicit, proofs are the best existing ones presented in a very clear way. Another important feature for this subject is the fact that there are many examples explaining the hypotheses but also creating feelings and intuition in this area. There are a lot of exercises. The solutions of these exercises have appeared in a book "exercises in Modules and Rings" (Problem books in Mathematics, Springer) Anyone with interests in Noncommutative algebra will be happy to have this book on his shelves.
1 of 2 people found the following review helpful:
5.0 out of 5 stars
Lectures on Modules and Rings,
By
This review is from: Lectures on Modules and Rings (Graduate Texts in Mathematics 189) (Hardcover)
Very well written and comprehensive treatise of the subject with a lot of illustrative examples.
Of value not only to those working in algebraic domains but also to students and researchers in analysis
Share your thoughts with other customers: Create your own review
|
|
Inside This Book
(learn more)
First Sentence:
An affective way to understand the behavior of a ring R is to study the various ways in which R on its left and right modules. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Schanuel's Lemma, Baer's Test, Goldie's Theorem, Baer's Criterion, Zorn's Lemma, Morita Context, Nakayama's Lemma, Dual Basis Lemma, Hilbert Basis Theorem, Hopkins-Levitzki Theorem, Injective Producing Lemma, Lemma of Prime Avoidance, Morita Theorems, Emmy Noether, Gabriel's Theorem, Johnson's Theorem, Modified Flatness Test, The Ugly, Auslander's Theorem, Chinese Remainder Theorem, First Course, Modified Projectivity Test, Recall Exercise, Serre's Conjecture, The Bad Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
An affective way to understand the behavior of a ring R is to study the various ways in which R on its left and right modules. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Schanuel's Lemma, Baer's Test, Goldie's Theorem, Baer's Criterion, Zorn's Lemma, Morita Context, Nakayama's Lemma, Dual Basis Lemma, Hilbert Basis Theorem, Hopkins-Levitzki Theorem, Injective Producing Lemma, Lemma of Prime Avoidance, Morita Theorems, Emmy Noether, Gabriel's Theorem, Johnson's Theorem, Modified Flatness Test, The Ugly, Auslander's Theorem, Chinese Remainder Theorem, First Course, Modified Projectivity Test, Recall Exercise, Serre's Conjecture, The Bad Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 100
books:
See all 100 books this book cites
97
books
cite this book:
See all 97 books citing this book
- Commutative Algebra: with a View Toward Algebraic Geometry (Graduate Texts in Mathematics) by David Eisenbud in Back Matter (1), and Back Matter (2)
- Functions of One Complex Variable (Graduate Texts in Mathematics - Vol 11) (v. 1) by John B Conway in Front Matter, and Back Matter
- Linear Algebra by Sterling K. Berberian in Front Matter, and Back Matter
- Lectures on Rings and Modules (AMS Chelsea Publishing) by Joachim Lambek in Front Matter, and Back Matter
- Representation Theory of Finite Groups and Associative Algebras (Ams Chelsea Publishing) by Charles W. Curtis and Irving Reiner on page 450, and Back Matter
See all 100 books this book cites
- A First Course in Noncommutative Rings by Tsit Yuen Lam in Front Matter, Back Matter (1), and Back Matter (2)
- Advances in Ring Theory by J. L. S. Chen on page 24, and page 241
- Algebra and Its Applications (Contemporary Mathematics) by Dinh V. Huynh on page 48, and page 72
- Quasi-Frobenius Rings (Cambridge Tracts in Mathematics) by W. K. Nicholson in Front Matter, and Back Matter
- Algebras, Rings And Their Representations: Proceedings Of The International Conference on Algebras, Modules and Rings, Lisbon, Portugal, 14-18 July 2003 by Catarina Santa-Clara on page 71, and page 182
See all 97 books citing this book
What Other Items Do Customers Buy After Viewing This Item?
Tags Customers Associate with This Product(What's this?)Click on a tag to find related items, discussions, and people.
|
Customer Discussions
|
This product's forum
Active discussions in related forums
Search Customer Discussions
|
Related forums
|
Listmania!
So You'd Like to...
|
|
