Based in large part on the comprehensive "First Course in Ring Theory" by the same author, this book provides a comprehensive set of problems and solutions in ring theory that will serve not only as a teaching aid to instructors using that book, but also for students, who will see how ring theory theorems are applied to solving ring-theoretic problems and how good proofs are written. The author demonstrates that problem-solving is a lively process: in "Comments" following many solutions he discusses what happens if a hypothesis is removed, whether the exercise can be further generalized, what would be a concrete example for the exercise, and so forth. The book is thus much more than a solution manual.
FREE Two-Day Shipping for Students. Learn more |
|
There is a newer edition of this item:
|
Book Description
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
|
There are no customer reviews yet.
|
|||
|
Video reviews
|
Inside This Book
(learn more)
Browse and search another edition of this book.
Browse and search another edition of this book.
First Sentence:
The exercises in this beginning section cover the basic aspects of rings, ideals (both 1-sided and 2-sided), zero-divisors and units, isomorphisms of modules and rings, the chain conditions, and Dedekind-finiteness. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
left stable range, maximal subrnodule, sernilocal rings, sernisimple ring, left primitive ring, metro equation, strongly regular ring, right perfect rings, modular maximal, semiprimary ring, basic idempotent, semiperfect rings, show that rad, semisimple ring, duo ring, hopfian property, lower nilradical, ordered division rings, semilocal rings, nil ideal, nonzero ring, commutativity theorems, simple artinian ring, semiprime ideals, primitive rings Key Phrases - Capitalized Phrases (CAPs): (learn more)
Density Theorem, Amitsur's Theorem, Zorn's Lemma, Jacobson's Theorem, Schur's Lemma, Alternative Solution, Cambridge University Press, Köthe Conjecture, Maschke's Theorem, Nakayama's Lemma, Structure of Rings, Wedderburn's Theorem, Wedderburn-Artin Theory, Hölder's Theorem, Köthe's Conjecture, Krieger Publ, London Math, Artin's Theorem, Birkhoff's Theorem, Initial Observation, Isomorphism Problem, Littlewood's Formula, Noether's Normal Basis Theorem, Okayama Univ, Wiley Interscience New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The exercises in this beginning section cover the basic aspects of rings, ideals (both 1-sided and 2-sided), zero-divisors and units, isomorphisms of modules and rings, the chain conditions, and Dedekind-finiteness. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
left stable range, maximal subrnodule, sernilocal rings, sernisimple ring, left primitive ring, metro equation, strongly regular ring, right perfect rings, modular maximal, semiprimary ring, basic idempotent, semiperfect rings, show that rad, semisimple ring, duo ring, hopfian property, lower nilradical, ordered division rings, semilocal rings, nil ideal, nonzero ring, commutativity theorems, simple artinian ring, semiprime ideals, primitive rings Key Phrases - Capitalized Phrases (CAPs): (learn more)
Density Theorem, Amitsur's Theorem, Zorn's Lemma, Jacobson's Theorem, Schur's Lemma, Alternative Solution, Cambridge University Press, Köthe Conjecture, Maschke's Theorem, Nakayama's Lemma, Structure of Rings, Wedderburn's Theorem, Wedderburn-Artin Theory, Hölder's Theorem, Köthe's Conjecture, Krieger Publ, London Math, Artin's Theorem, Birkhoff's Theorem, Initial Observation, Isomorphism Problem, Littlewood's Formula, Noether's Normal Basis Theorem, Okayama Univ, Wiley Interscience New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 38
books:
See all 38 books this book cites
15
books
cite this book:
See all 15 books citing this book
- Representation Theory of Finite Groups and Associative Algebras (Ams Chelsea Publishing) by Charles W. Curtis and Irving Reiner on page 82, and page 346
- Computation with Finitely Presented Groups (Encyclopedia of Mathematics and its Applications) by Charles C. Sims on page 8
- Fibromyalgia (First Year - Patient-Expert Guides) by Claudia Craig Marek in Front Matter
- Commutative Rings by Irving Kaplansky on page 145
- Winning Solutions (Problem Books in Mathematics) by Edward Lozansky in Back Matter
See all 38 books this book cites
- Quasi-Frobenius Rings (Cambridge Tracts in Mathematics) by W. K. Nicholson in Back Matter
- Unsolved Problems in Number Theory (Problem Books in Mathematics / Unsolved Problems in Intuitive Mathematics) by Richard Guy in Back Matter
- Polynomials (Problem Books in Mathematics) by E.J. Barbeau in Back Matter
- Berkeley Problems in Mathematics by Paulo Ney de Souza in Back Matter
- Contests in Higher Mathematics: Miklos Schweitzer Competitions, 1962-1991 (Problem Books in Mathematics) by Gabor J. Szekely in Back Matter
See all 15 books citing this book
Books on Related Topics
(learn more)
|
|
Tag this product(What's this?)Think of a tag as a keyword or label you consider is strongly related to this product.
Tags will help all customers organize and find favorite items. |
Sell a Digital Version of This Book in the Kindle Store
If you are a publisher or author and hold the digital rights to a book, you can sell a digital version of it in our Kindle Store.
Learn more
Customer Discussions
|
This product's forum
Active discussions in related forums
Search Customer Discussions
|
Related forums
|
