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.

Keywords

Bibliographic Information

Book Title: Rings with Morita Duality
Authors: Weimin Xue
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0089071
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1992
Softcover ISBN: 978-3-540-55770-8Published: 10 September 1992
eBook ISBN: 978-3-540-47283-4Published: 15 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 170
Topics: Algebra

Publish with us

Policies and ethics

Authors:

Sections

Buy it now

Buying options

Other ways to access

Table of contents (5 chapters)

Front Matter

Introduction to Morita duality

Morita duality and ring extensions

Artinian rings with Morita duality (I)

Artinian rings (II) — Azumaya's exact rings

Other types of rings with duality

Back Matter

About this book