Umfang:
1 Online-Ressource (ix, 152 pages)
,
digital, PDF file(s).
ISBN:
9780511546518
Serie:
Cambridge tracts in mathematics 161
Inhalt:
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.
Inhalt:
Some module theoretic observations -- Representable equivalences -- Tilting modules -- Representable dualities -- Cotilting -- Adjoints and category equivalence -- Noetherian serial rings
Anmerkung:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Weitere Ausg.:
ISBN 9780521838214
Weitere Ausg.:
ISBN 9780521838214
Weitere Ausg.:
Erscheint auch als Colby, Robert R., 1938 - Equivalence and duality for module categories (with tilting and cotilting for rings) Cambridge [u.a.] : Cambridge Univ. Press, 2004 ISBN 0521838215
Weitere Ausg.:
Print version ISBN 9780521838214
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Algebraischer Ring
;
Modul
;
Dualitätstheorie
DOI:
10.1017/CBO9780511546518
Mehr zum Autor:
Fuller, Kent R. 1938-
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