Equivalence and Duality for Module Categories with Tilting and Cotilting for Rings


Robert R. Colby
Bok Engelsk 2004 · Electronic books.
Annen tittel
Utgitt
Cambridge : : Cambridge University Press, , 2004.
Omfang
1 online resource (164 p.)
Opplysninger
Description based upon print version of record.. - 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.
Emner
Sjanger
Dewey
ISBN
0521838215

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