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Equivalence and Duality for Module C...
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Kirwan, F.
Equivalence and Duality for Module Categories with Tilting and Cotilting for Rings.
紀錄類型:
書目-電子資源 : 單行本
正題名/作者:
Equivalence and Duality for Module Categories with Tilting and Cotilting for Rings./
作者:
Colby, Robert R.
其他作者:
Bollobas, B.
出版者:
Cambridge :Cambridge University Press, : 2004.,
面頁冊數:
164 p.
標題:
Rings (Algebra). -
電子資源:
Click here to view book
ISBN:
9780511546518 (electronic bk.)
Equivalence and Duality for Module Categories with Tilting and Cotilting for Rings.
Colby, Robert R.
Equivalence and Duality for Module Categories with Tilting and Cotilting for Rings.
[electronic resource]. - Cambridge :Cambridge University Press,2004. - 164 p.
Cover; Half-title; Title; Copyright; Contents; Preface; Acknowledgment; 1 Some Module Theoretic Observations; 2 Representable Equivalences; 3 Tilting Modules; 4 Representable Dualities; 5 Cotilting; Appendix A Adjoints and Category Equivalence; Appendix B Noetherian Serial Rings; Bibliography; Index
This book provides a unified and innovative approach to much of the theories of equivalence and duality between categories of modules that has transpired over the last 45 years. The authors discuss the 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.
Electronic reproduction.
Available via World Wide Web.
Mode of access: World Wide Web.
ISBN: 9780511546518 (electronic bk.)Subjects--Topical Terms:
276997
Rings (Algebra).
Index Terms--Genre/Form:
96803
Electronic books.
LC Class. No.: QA247 .E66 2004eb
Dewey Class. No.: 512.4
Equivalence and Duality for Module Categories with Tilting and Cotilting for Rings.
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Cover; Half-title; Title; Copyright; Contents; Preface; Acknowledgment; 1 Some Module Theoretic Observations; 2 Representable Equivalences; 3 Tilting Modules; 4 Representable Dualities; 5 Cotilting; Appendix A Adjoints and Category Equivalence; Appendix B Noetherian Serial Rings; Bibliography; Index
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This book provides a unified and innovative approach to much of the theories of equivalence and duality between categories of modules that has transpired over the last 45 years. The authors discuss the 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.
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