Localization in Left Noetherian Rings
Author : Michael J. McConnell
Publisher :
Page : 144 pages
File Size : 31,2 MB
Release : 1996
Category : Localization theory
ISBN :
Localization in Noetherian Rings
Author : A. V. Jategaonkar
Publisher : Cambridge University Press
Page : 341 pages
File Size : 39,97 MB
Release : 1986-03-13
Category : Mathematics
ISBN : 0521317134
Book Description
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 and Sheaves
Author : Jara Pascual
Publisher : CRC Press
Page : 260 pages
File Size : 22,93 MB
Release : 1995-11-30
Category : Mathematics
ISBN : 9780582273726
Book Description
This book completely solves the problem of representing rings (and modules over them), which are locally noetherian over subsets of their prime spectrum by structure sheaves over this subset. In order to realise this, one has to develop the necessary localization theory as well as to study local equivalents of familiar concepts like the Artin-Rees property, Ore sets and the second layer condition. The first part of the book is introductory and self-contained, and might serve as a starting course (at graduate level) on localization theory within Grothendieck categories. The second part is more specialised and provides the basic machinery needed to effectively these structure sheaves, as well as to study their functorial behaviour. In this way, the book should be viewed as a first introduction to what should be called relative noncommutative algebraic geometry.
An Introduction to Noncommutative Noetherian Rings
Author : K. R. Goodearl
Publisher : Cambridge University Press
Page : 372 pages
File Size : 27,73 MB
Release : 2004-07-12
Category : Mathematics
ISBN : 9780521545372
Book Description
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 of Non-commutative Noetherian Rings at Semiprime Ideals
Author : Bruno J. Müller
Publisher :
Page : 78 pages
File Size : 40,5 MB
Release : 1974
Category : Commutative rings
ISBN :
Book Description
Localization in Non-commutative Rings
Author : Bruno J. Mueller
Publisher :
Page : 88 pages
File Size : 27,38 MB
Release : 1975
Category : Noncommutative rings
ISBN :
Book Description
On universal localization of noncommutative Noetherian rings
Author : Christine M. Leroux
Publisher :
Page : 0 pages
File Size : 46,52 MB
Release : 2013
Category :
ISBN :
Book Description
Ring Theory - Proceedings Of The Biennial Ohio State-denison Conference 1992
Author : Surender K Jain
Publisher : World Scientific
Page : 394 pages
File Size : 19,83 MB
Release : 1993-09-30
Category :
ISBN : 9814553123
Book Description
This volume consists of a collection of invited papers on the theory of rings and modules, most of which were presented at the biennial Ohio State — Denison Conference, May 1992, in memory of Hans Zassenhaus. The topics of these papers represent many modern trends in Ring Theory. The wide variety of methodologies and techniques demonstrated will be valuable in particular to young researchers in the area. Covering a broad range, this book should appeal to a wide spectrum of researchers in algebra and number theory.
An Introduction to Noncommutative Noetherian Rings
Author : K. R. Goodearl
Publisher : Cambridge University Press
Page : 328 pages
File Size : 17,58 MB
Release : 1989
Category : Mathematics
ISBN : 9780521369251
Book Description
Introduces and applies the standard techniques in the area (ring of fractions, bimodules, Krull dimension, linked prime ideals).
Noetherian Rings and Their Applications
Author : Lance W. Small
Publisher : American Mathematical Soc.
Page : 130 pages
File Size : 34,61 MB
Release : 1987
Category : Mathematics
ISBN : 0821815253
Book Description
". T. Stafford -- The Goldie rank of a module " . R. Farkas -- Noetherian group rings: An exercise in creating folklore and intuition " . C. Jantzen -- Primitive ideals in the enveloping algebra of a semisimple Lie algebra " . J. Enright -- Representation theory of semisimple Lie algebras " .-E. Björk -- Filtered Noetherian rings " . Rentschler -- Primitive ideals in enveloping algebras.
