ENGLISH

Commutative Coherent Rings

By Sarah Glaz

Book information

Publisher
Springer
Year
1989
ISBN
9780387511153, 0387511156
LCC
QA3 .L28 no. 1371,QA251.3 .L28 no. 1371
Open Library ID
OL2188165M
Language
english
Format
DJVU
Filesize
1 MB (1233810 bytes)
Series
Lecture Notes in Mathematics
Pages
360\360
Library
mexmat
Time added
2009-07-20 03:45:11

Description

This book provides the first extensive and systematic treatment of the theory of commutative coherent rings. It blends, and provides a link, between the two sometimes disjoint approaches available in the literature, the ring theoretic approach, and the homological algebra approach. The book covers most results in commutative coherent ring theory known to date, as well as a number of results never published before. Starting with elementary results, the book advances to topics such as: uniform coherence, regular rings, rings of small homological dimensions, polynomial and power series rings, group rings and symmetric algebra over coherent rings. The subject of coherence is brought to the frontiers of research, exposing the open problems in the field. Most topics are treated in their fully generality, deriving the results on coherent rings as conclusions of the general theory. Thus, the book develops many of the tools of modern research in commutative algebra with a variety of examples and counterexamples. Although the book is essentially self-contained, basic knowledge of commutative and homological algebra is recommended. It addresses graduate students and researchers.

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