Auslander-Buchweitz Approximations of Equivariant Modules: 282 (London Mathematical Society Lecture Note Series, Series Number 282) - Softcover

Hashimoto, Mitsuyasu

Softcover

ISBN 10: 0521796962 ISBN 13: 9780521796965

Publisher: Cambridge University Press, 2000

Synopsis

This book, first published in 2000, focuses on homological aspects of equivariant modules. It presents a homological approximation theory in the category of equivariant modules, unifying the Cohen-Macaulay approximations in commutative ring theory and Ringel's theory of delta-good approximations for quasi-hereditary algebras and reductive groups. The book provides a detailed introduction to homological algebra, commutative ring theory and homological theory of comodules of co-algebras over an arbitrary base. It aims to overcome the difficulty of generalising known homological results in representation theory. This book will be of interest to researchers and graduate students in algebra, specialising in commutative ring theory and representation theory.

About this title

Review

'This monograph brings the reader to the bounds of knowledge in the subject. It will be of interest of researchers and graduate students, both in commutative ring theory and representation theory.' EMS

Book Description

This book, first published in 2000, focuses on homological aspects of equivariant modules and discusses interactions between commutative ring theory and representation theory. The book aims to unify two important examples of Auslander-Buchweitz approximations in these areas of algebra. It is primarily aimed at researchers but will also be suitable for graduate students.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2000
• Language: English
• ISBN 10: 0521796962
• ISBN 13: 9780521796965
• Binding: Paperback
• Number of pages: 298