Steps in Commutative Algebra
Steps in Commutative Algebra
$70.99
USDThis 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.
- 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 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, The Mathematical Gazette
Product details
January 2001Paperback
9780521646239
368 pages
230 × 161 × 24 mm
0.54kg
Available
Table of Contents
- Prefaces to the 1st and 2nd editions
- 1. Commutative rings and subrings
- 2. Ideals
- 3. Prime ideals and maximal ideals
- 4. Primary decomposition
- 5. Rings of fractions
- 6. Modules
- 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
- Bibliography
- Index.
