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- catalog abstract "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.".
- catalog contributor b2440256.
- catalog created "c1989.".
- catalog date "1989".
- catalog date "c1989.".
- catalog dateCopyrighted "c1989.".
- catalog description "Includes bibliographical references and index.".
- catalog 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.".
- catalog extent "xi, 347 p. ;".
- catalog hasFormat "Commutative coherent rings.".
- catalog identifier "0387511156 (U.S.)".
- catalog identifier "3540511156".
- catalog isFormatOf "Commutative coherent rings.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1371.".
- catalog isPartOf "Lecture notes in mathematics ; 1371".
- catalog issued "1989".
- catalog issued "c1989.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Commutative coherent rings.".
- catalog subject "510 s 512.4 20".
- catalog subject "Commutative rings.".
- catalog subject "K-theory.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1371 QA251.3".
- catalog title "Commutative coherent rings / Sarah Glaz.".
- catalog type "text".