Auslander-Buchweitz Approximations of Equivariant Modules (London Mathematical Society Lecture Note Series)

Hashimoto, Mitsuyasu

ISBN 10: 0521796962 / ISBN 13: 9780521796965

Published by Cambridge University Press, 2000

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Bibliographic Details

• Title: Auslander-Buchweitz Approximations of Equivariant Modules (London Mathematical Society Lecture Note Series)
• Publisher: Cambridge University Press
• Publication Date: 2000
• Language: English
• ISBN 10: 0521796962
• ISBN 13: 9780521796965
• Binding: Paperback
• Condition: Like New
• Book Type: book

About this title

Synopsis

This book presents a new 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 coalgebras over an arbitrary base. It aims to overcome the difficulty of generalizing known homological results in representation theory.

Book Description

This book focuses on homological aspects of equivariant modules. It presents a new 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. It also provides detailed introduction to homological algebra, commutative ring theory and homological theory of comodules of co-algebras over an arbitrary base. The book is primarily aimed at researchers but will also be suitable for graduate students.