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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.Read more
- Provides stepping stones to bridge gap from elementary prime factorization theory to the established books on commutative ring theory.
- Straightforward introduction to commutative algebra (very important field, most books too hard)
- Fully class tested and self-contained
- Second edition of a popular text
Reviews & endorsements
'… a very useful stepping-stone for students in their study of commutative algebra.' H. Mitsch, Universität WienSee more reviews
'… 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, The Mathematical Gazette
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- Edition: 2nd Edition
- Date Published: January 2001
- format: Paperback
- isbn: 9780521646239
- length: 368 pages
- dimensions: 230 x 161 x 24 mm
- weight: 0.54kg
- availability: Available
Table of Contents
Prefaces to the 1st and 2nd editions
1. Commutative rings and subrings
3. Prime ideals and maximal ideals
4. Primary decomposition
5. Rings of fractions
7. Chain conditions on modules
8. Commutative Noetherian rings
9. More module theory
10. Modules over principal ideal domains
11. Canonical forms for square matrices
12. Some applications to field theory
13. Integral dependence on subrings
14. Affine algebras over fields
15. Dimension theory
16. Regular sequences and grade
17. Cohen–Macaulay rings
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