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Continuous and Discrete Modules : London Mathematical Society Lecture Note Series - Saad H. Mohamed

Continuous and Discrete Modules

London Mathematical Society Lecture Note Series

Paperback Published: 23rd April 1990
ISBN: 9780521399753
Number Of Pages: 140

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Continuous and discrete modules are, essentially, generalizations of infective and projective modules respectively. Continuous modules provide an appropriate setting for decomposition theory of von Neumann algebras and have important applications to C*-algebras. Discrete modules constitute a dual concept and are related to number theory and algebraic geometry: they possess perfect decomposition properties. The advantage of both types of module is that the Krull-Schmidt theorem can be applied, in part, to them. The authors present here a complete account of the subject and at the same time give a unified picture of the theory. The treatment is essentially self-contained, with background facts being summarized in the first chapter. This book will be useful therefore either to individuals beginning research, or the more experienced worker in algebra and representation theory.

Injectivity and related concepts
Quasi-continuous modules
Continuous modules
Quasi-discrete modules
Discrete modules.
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521399753
ISBN-10: 0521399750
Series: London Mathematical Society Lecture Note Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 140
Published: 23rd April 1990
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 0.8
Weight (kg): 0.22

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