This introductory account of commutative algebra is aimed at students with a background only in basic algebra. Professor Sharp's book provides a good foundation from which the reader can proceed to more advanced works in commutative algebra or algebraic geometry. This new edition contains additional chapters on regular sequences and on Cohen-Macaulay rings.
FREE Two-Day Shipping for students on millions of items. Learn more |
| ||||||||||||||||||
Book Description
Special Offers and Product Promotions
- Buy $50 in qualifying physical textbooks, get $5 in Amazon MP3 Credit. Here's how (restrictions apply)
Editorial Reviews
Review
'... a very useful stepping-stone for students in their study of commutative algebra.' H. Mitsch, Wien
'... Sharp is an excellent guide, clearly aiming never to leave his readers floundering ... This standard of care for his readers is maintained throughout the book ... this is a superb guide to an attractive and important area of mathematics, and one from which I will derive pleasure as a retirement project. But it will never be an easy ride.' John Baylis, Nottingham Trent University, , The Mathematical Gazette
'... Sharp is an excellent guide, clearly aiming never to leave his readers floundering ... This standard of care for his readers is maintained throughout the book ... this is a superb guide to an attractive and important area of mathematics, and one from which I will derive pleasure as a retirement project. But it will never be an easy ride.' John Baylis, Nottingham Trent University, , The Mathematical Gazette
Book Description
This introductory account of commutative algebra is aimed at students with a background only in basic algebra. It is thus suitable for typical mathematics graduate students, but it can also be used for some some final year undergraduate courses. Professor Sharp's intention is to provide a good foundation from which the reader can proceed to more advanced works in commutative algebra or algebraic geometry. This new edition contains additional chapters on regular sequences and on Cohen-Macaulay rings.
Product Details
Would you like to update product info or give feedback on images?
|
More About the Authors
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)
First Sentence:
This book is designed for students who have followed an elementary undergraduate course on commutative ring theory, such as that covered in D.W. Sharpe's little book [20], and who wish to learn more about the subject. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
natural surjective ring homomorphism, decomposable ideal, contraction notation, power annihilators, minimal primary decomposition, natural ring homomorphism, normalizing family, multiplicatively closed subset, minimal prime ideal, different prime ideals, regular local ring, irreducible ideal, inclusion homomorphism, rational canonical form, linearly independent family, maximal member, injective ring homomorphism, affine algebra, proper ideal, many maximal ideals, one maximal ideal, commutative ring, cyclic submodules, minimal generating set, primary ideal Key Phrases - Capitalized Phrases (CAPs): (learn more)
Isomorphism Theorem, Zorn's Lemma, Nakayama's Lemma, Prime Avoidance Theorem, Noether's Normalization Theorem, Generalized Principal Ideal Theorem, Noetherian R-module, Krull's Intersection Theorem, Artinian R-module, Going-down Theorem, Incomparability Theorem, Artinian K-module, Noetherian K-module, Going-up Theorem, Subfield Criterion, Hilbert's Basis Theorem, Krull's Principal Ideal Theorem, Subring Criterion New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
This book is designed for students who have followed an elementary undergraduate course on commutative ring theory, such as that covered in D.W. Sharpe's little book [20], and who wish to learn more about the subject. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
natural surjective ring homomorphism, decomposable ideal, contraction notation, power annihilators, minimal primary decomposition, natural ring homomorphism, normalizing family, multiplicatively closed subset, minimal prime ideal, different prime ideals, regular local ring, irreducible ideal, inclusion homomorphism, rational canonical form, linearly independent family, maximal member, injective ring homomorphism, affine algebra, proper ideal, many maximal ideals, one maximal ideal, commutative ring, cyclic submodules, minimal generating set, primary ideal Key Phrases - Capitalized Phrases (CAPs): (learn more)
Isomorphism Theorem, Zorn's Lemma, Nakayama's Lemma, Prime Avoidance Theorem, Noether's Normalization Theorem, Generalized Principal Ideal Theorem, Noetherian R-module, Krull's Intersection Theorem, Artinian R-module, Going-down Theorem, Incomparability Theorem, Artinian K-module, Noetherian K-module, Going-up Theorem, Subfield Criterion, Hilbert's Basis Theorem, Krull's Principal Ideal Theorem, Subring Criterion 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)
10
books
cite this book:
See all 10 books citing this book
- Solving Polynomial Equations: Foundations, Algorithms, and Applications (Algorithms and Computation in Mathematics) by Alicia Dickenstein in Back Matter
- Computer Vision - ECCV '96: Fourth European Conference on Computer Vision, Cambridge, UK April 14-18, 1996. Proceedings, Volume II (Lecture Notes in Computer Science) by Bernard Buxton on page 682
- An Algebraic Introduction to Complex Projective Geometry: Commutative Algebra (Cambridge Studies in Advanced Mathematics) by Christian Peskine in Back Matter
- Fundamental Structures of Algebra and Discrete Mathematics by Stephan Foldes on page 124
- Groups with Prescribed Quotient Groups and Associated Module Theory (Series in Algebra) by Javier Otal in Back Matter
See all 10 books citing this book
Books on Related Topics
(learn more)
|
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.
|
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
|
