Rings with Morita Duality

Weimin Xue (auth.)3540557709, 9783540557708, 0387557709

Associative rings that possess Morita dualities or self- dualities form the object of this book. They are assumed to have an identity and modules are assumed unitary. The book sets out to give an extensive introduction to thisclass of rings, covering artinian rings, ring extensions, Azuma- ya’s exact rings, and more. Among the interesting results presented are a characterization of duality via linear com- pactness, ring extensions with dualities, and exact rings. Some basic knowledge of rings and modules is expected of the reader.

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Table of contents :
Introduction to Morita duality….Pages 1-53
Morita duality and ring extensions….Pages 54-83
Artinian rings with Morita duality (I)….Pages 84-110
Artinian rings (II) — Azumaya’s exact rings….Pages 111-148
Other types of rings with duality….Pages 149-159