Localization in Noetherian Rings
Title | Localization in Noetherian Rings PDF eBook |
Author | A. V. Jategaonkar |
Publisher | Cambridge University Press |
Pages | 341 |
Release | 1986-03-13 |
Genre | Mathematics |
ISBN | 0521317134 |
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.
Localization in Noetherian Ring
Title | Localization in Noetherian Ring PDF eBook |
Author | A. V. Jategaonkar |
Publisher | |
Pages | 338 |
Release | 1986 |
Genre | |
ISBN |
Localization of Non-commutative Noetherian Rings at Semiprime Ideals
Title | Localization of Non-commutative Noetherian Rings at Semiprime Ideals PDF eBook |
Author | Bruno J. Müller |
Publisher | |
Pages | 78 |
Release | 1974 |
Genre | Commutative rings |
ISBN |
Localization in Left Noetherian Rings
Title | Localization in Left Noetherian Rings PDF eBook |
Author | Michael J. McConnell |
Publisher | |
Pages | 144 |
Release | 1996 |
Genre | Localization theory |
ISBN |
An Introduction to Noncommutative Noetherian Rings
Title | An Introduction to Noncommutative Noetherian Rings PDF eBook |
Author | K. R. Goodearl |
Publisher | Cambridge University Press |
Pages | 372 |
Release | 2004-07-12 |
Genre | Mathematics |
ISBN | 9780521545372 |
This introduction to noncommutative noetherian rings is intended to be accessible to anyone with a basic background in abstract algebra. It can be used as a second-year graduate text, or as a self-contained reference. Extensive explanatory discussion is given, and exercises are integrated throughout. This edition incorporates substantial revisions, particularly in the first third of the book, where the presentation has been changed to increase accessibility and topicality. New material includes the basic types of quantum groups, which then serve as test cases for the theory developed.
Localization in Non-noetherian Rings
Title | Localization in Non-noetherian Rings PDF eBook |
Author | Chee-Chong Lai |
Publisher | |
Pages | 83 |
Release | 1978 |
Genre | |
ISBN |
Notes on Localization in Noncommutative Noetherian Rings
Title | Notes on Localization in Noncommutative Noetherian Rings PDF eBook |
Author | Allen Davis Bell |
Publisher | |
Pages | 77 |
Release | 1988 |
Genre | |
ISBN |