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Equivalence and duality for module categories : = with tilting and cotilting for rings /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Equivalence and duality for module categories :/ Robert R. Colby, Kent R. Fuller.
Reminder of title:	with tilting and cotilting for rings /
remainder title:	Equivalence & Duality for Module Categories with Tilting & Cotilting for Rings
Author:	Colby, Robert R.
other author:	Fuller, Kent R.,
Description:	1 online resource (ix, 152 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Rings (Algebra) -
Online resource:	https://doi.org/10.1017/CBO9780511546518
ISBN:	9780511546518 (ebook)

Equivalence and duality for module categories : = with tilting and cotilting for rings /
Colby, Robert R.1938-

Equivalence and duality for module categories :with tilting and cotilting for rings /Equivalence & Duality for Module Categories with Tilting & Cotilting for RingsRobert R. Colby, Kent R. Fuller. - 1 online resource (ix, 152 pages) :digital, PDF file(s). - Cambridge tracts in mathematics ;161. - Cambridge tracts in mathematics ;203..

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

Some module theoretic observations -- Representable equivalences -- Tilting modules -- Representable dualities -- Cotilting -- Adjoints and category equivalence -- Noetherian serial rings.

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.

ISBN: 9780511546518 (ebook)Subjects--Topical Terms:

786669
Rings (Algebra)

LC Class. No.: QA247 / .E66 2004

Dewey Class. No.: 512/.4

Equivalence and duality for module categories : = with tilting and cotilting for rings /
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020 $z 9780521838214 (hardback)
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050 0 0 $a QA247 $b .E66 2004
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100 1 $a Colby, Robert R. $q (Robert Ray), $d 1938- $e author. $3 1444370
245 1 0 $a Equivalence and duality for module categories : $b with tilting and cotilting for rings / $c Robert R. Colby, Kent R. Fuller.
246 3 $a Equivalence & Duality for Module Categories with Tilting & Cotilting for Rings
264 1 $a Cambridge : $b Cambridge University Press, $c 2004.
300 $a 1 online resource (ix, 152 pages) : $b digital, PDF file(s).
336 $a text $b txt $2 rdacontent
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338 $a online resource $b cr $2 rdacarrier
490 1 $a Cambridge tracts in mathematics ; $v 161
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a Some module theoretic observations -- Representable equivalences -- Tilting modules -- Representable dualities -- Cotilting -- Adjoints and category equivalence -- Noetherian serial rings.
520 $a 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.
650 0 $a Rings (Algebra) $3 786669
650 0 $a Modules (Algebra) $3 672305
650 0 $a Duality theory (Mathematics) $3 527743
700 1 $a Fuller, Kent R., $e author. $3 1444371
776 0 8 $i Print version: $z 9780521838214
830 0 $a Cambridge tracts in mathematics ; $v 203. $3 1238301
856 4 0 $u https://doi.org/10.1017/CBO9780511546518