Equivalence and duality for module categories : with tilting and cotilting for rings / Robert R. Colby, Kent R. Fuller.

Format:

Book

Author/Creator:

Colby, Robert R. (Robert Ray), 1938- author.

Fuller, Kent R., author.

Series:

Cambridge tracts in mathematics ; 161.

Cambridge tracts in mathematics ; 161

Language:

English

Subjects (All):

Rings (Algebra).

Modules (Algebra).

Duality theory (Mathematics).

Physical Description:

1 online resource (ix, 152 pages) : digital, PDF file(s).

Edition:

1st ed.

Other Title:

Equivalence & Duality for Module Categories with Tilting & Cotilting for Rings

Place of Publication:

Cambridge : Cambridge University Press, 2004.

Language Note:

English

Summary:

This book provides a unified approach to much of the theories of equivalence and duality between categories of modules that has transpired over the last 45 years. In particular, during the past dozen or so years many authors (including the authors of this book) have investigated relationships between categories of modules over a pair of rings that are induced by both covariant and contravariant representable functors, in particular by tilting and cotilting theories. By here collecting and unifying the basic results of these investigations with innovative and easily understandable proofs, the authors' aim is to provide an aid to further research in this central topic in abstract algebra, and a reference for all whose research lies in this field.

Contents:

Some module theoretic observations

Representable equivalences

Tilting modules

Representable dualities

Cotilting

Adjoints and category equivalence

Noetherian serial rings.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references (p. 147-150) and index.

ISBN:

1-107-15057-4

1-280-45833-X

9786610458332

0-511-18614-2

0-511-18531-6

0-511-18800-5

0-511-31394-2

0-511-54651-3

0-511-18707-6

OCLC:

171138605