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Localization in Noetherian Rings : London Mathematical Society Lecture Note Series - A. V. Jategaonkar

Localization in Noetherian Rings

London Mathematical Society Lecture Note Series

Paperback Published: 12th May 1986
ISBN: 9780521317139
Number Of Pages: 340

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This monograph first published in 1986 is a reasonably self-contained account of a large part of the theory of non-commutative Noetherian rings. The author focuses on two important aspects: localization and the structure of infective modules. The former is presented in the opening chapters after which some new module-theoretic concepts and methods are used to formulate a new view of localization. This view, which is one of the book's highlights, shows that the study of localization is inextricably linked to the study of certain injectives and leads, for the first time, to some genuine applications of localization in the study of Noetherian rings. In the last part Professor Jategaonkar introduces a unified setting for four intensively studied classes of Noetherian rings: HNP rings, PI rings, enveloping algebras of solvable Lie algebras, and group rings of polycyclic groups. Some appendices summarize relevant background information about these four classes.

Ore's method of localizatiohn
Orders in semi-simple rings
Localization at semi-prime ideals
Localization, primary decomposition, and the second layer
Links, bonds, and noetherian bimodes
The second layer
Classical localization
The second layer condition
Indecomposable injectives and the second layer condition
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521317139
ISBN-10: 0521317134
Series: London Mathematical Society Lecture Note Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 340
Published: 12th May 1986
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.9
Weight (kg): 0.5

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