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Equivalence and duality for...
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 a.
Monografía
monografia Rebiun22872572 https://catalogo.rebiun.org/rebiun/record/Rebiun22872572 m o d cr cn||||||||| 030930s2004 enk ob 001 0 eng d 70010139 144522642 271786980 466462819 481715191 560117432 647489294 668201031 847977693 888604124 935231274 961511008 962708801 1037444702 1058061687 0511188005 9780511188008 0521838215 9780521838214 0511185316 electronic bk.) 9780511185311 electronic bk.) 0511186142 electronic bk.) 9780511186141 electronic bk.) 9780511546518 electronic book) 0511546513 electronic book) 9780511187070 0511187076 9786610458332 6610458332 REDDC eng pn REDDC BAKER YDXCP OCLCG OCLCQ N$T AU@ OCLCQ DKDLA MERUC CCO E7B IDEBK OCLCQ OCLCF OCLCO OCLCQ COO OCLCQ OL$ MNU CAMBR OCLCQ EBLCP OCLCQ AZK COCUF CNNOR MOR PIFBR ZCU OCLCQ U3W UAB STF BRL WRM OCLCQ NRAMU ICG MOQ INT VT2 OCLCQ WYU G3B TKN OCLCQ DKC OCLCQ MAT 002040 bisacsh Equivalence and duality for module categories with tilting and cotilting for rings Robert R. Colby, Kent R. Fuller Cambridge, UK New York Cambridge University Press 2004 Cambridge, UK New York Cambridge, UK New York Cambridge University Press 1 online resource (ix, 152 pages) 1 online resource (ix, 152 pages) Text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda Cambridge tracts in mathematics 161 Includes bibliographical references (pages 147-150) and index 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 a. Rings (Algebra) Modules (Algebra) Duality theory (Mathematics) Anneaux (Algèbre) Modules (Algèbre) Dualité, Principe de (Mathématiques) MATHEMATICS- Algebra- Intermediate Duality theory (Mathematics) Modules (Algebra) Rings (Algebra) Electronic books Electronic books Colby, Robert R. Robert Ray) 1938-) Fuller, Kent R. Print version Equivalence and duality for module categories. Cambridge, UK ; New York : Cambridge University Press, 2004 (DLC) 2003066663 Cambridge tracts in mathematics 161