Rings with Morita Duality [electronic resource] / by Weimin Xue.

By:

Xue, Weimin [author.]

Contributor(s):

SpringerLink (Online service)

Material type: Text

TextSeries: Lecture Notes in Mathematics ; 1523Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1992Description: X, 170 p. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783540472834

Subject(s):

Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:

512 23

LOC classification:

QA150-272

Online resources:

Click here to access online

Contents:

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.

In: Springer eBooksSummary: 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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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.

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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