Balcerzyk: Commutative ∗rings∗: Dimension Multipli City& Homological Methods: Dimension Multiplicity and Homological Methods (Mathematics and its Applications) - Hardcover

BALCERZYK, S

Hardcover

ISBN 10: 0745806201 ISBN 13: 9780745806204

Publisher: John Wiley & Sons, 1989

Synopsis

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About this title

Synopsis

This publication completes the comprehensive coverage of commutative ring theory begun in Balcerzyk and Jozefiak's "Commutative Noetherian and Krull Rings" (Ellis Horwood Limited, March 1989). This volume features the application of homological algebra to purely ring-theoretic problems, including an example of the homologous characterisation of regular local rings as local rings of finite global dimension. It describes the intersection multiplicity in terms of Tor functions, the characterisation of the depth of an ideal in terms of Ext functors, as well as local Gorenstein rings of finite injective dimension. The chapters incorporate exercises, the more difficult being furnished with hints. They are also enhanced by short notes and references which trace the methods and theorems of each chapter to its source. The text will be of interest to researchers and students of mathematics, algebra, commutative rings, algebraic geometry and algebraic number theory.

Edition details

• Publisher: John Wiley & Sons
• Publication date: 1989
• Language: English
• ISBN 10: 0745806201
• ISBN 13: 9780745806204
• Binding: Hardcover
• Number of pages: 206