National Science Library of Georgia

Equivalence and duality for module categories : (Record no. 517896)

MARC details
000 -LEADER
fixed length control field 02413nam a22003978i 4500
001 - CONTROL NUMBER
control field CR9780511546518
003 - CONTROL NUMBER IDENTIFIER
control field UkCbUP
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20200124160234.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
fixed length control field m|||||o||d||||||||
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr||||||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 090508s2004||||enk o ||1 0|eng|d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780511546518 (ebook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9780521838214 (hardback)
040 ## - CATALOGING SOURCE
Original cataloging agency UkCbUP
Language of cataloging eng
Description conventions rda
Transcribing agency UkCbUP
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA247
Item number .E66 2004
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512/.4
Edition number 22
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Colby, Robert R.
Fuller form of name (Robert Ray),
Dates associated with a name 1938-
Relator term author.
245 10 - TITLE STATEMENT
Title Equivalence and duality for module categories :
Remainder of title with tilting and cotilting for rings /
Statement of responsibility, etc Robert R. Colby, Kent R. Fuller.
246 3# - VARYING FORM OF TITLE
Title proper/short title Equivalence & Duality for Module Categories with Tilting & Cotilting for Rings
264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R)
Place of production, publication, distribution, manufacture (R) Cambridge :
Name of producer, publisher, distributor, manufacturer (R) Cambridge University Press,
Date of production, publication, distribution, manufacture, or copyright notice 2004.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (ix, 152 pages) :
Other physical details digital, PDF file(s).
336 ## - Content Type (R)
Content type term (R) text
Content type code (R) txt
Source (NR) rdacontent
337 ## - Media Type (R)
Media type term (R) computer
Media type code (R) c
Source (NR) rdamedia
338 ## - Carrier Type (R)
Carrier type term (R) online resource
Carrier type code (R) cr
Source (NR) rdacarrier
490 1# - SERIES STATEMENT
სერიის ცნობა Cambridge tracts in mathematics ;
Volume number/sequential designation 161
500 ## - GENERAL NOTE
General note Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Some module theoretic observations -- Representable equivalences -- Tilting modules -- Representable dualities -- Cotilting -- Adjoints and category equivalence -- Noetherian serial rings.
520 ## - SUMMARY, ETC.
Summary, etc 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 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Rings (Algebra)
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Modules (Algebra)
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Duality theory (Mathematics)
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Fuller, Kent R.,
Relator term author.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
International Standard Book Number 9780521838214
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Cambridge tracts in mathematics ;
Volume number/sequential designation 161.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1017/CBO9780511546518">https://doi.org/10.1017/CBO9780511546518</a>

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