Author : K. R. Goodearl
Publisher : Cambridge University Press
Page : 328 pages
File Size : 41,77 MB
Release : 1989
Category : Mathematics
ISBN : 9780521369251
Introduces and applies the standard techniques in the area (ring of fractions, bimodules, Krull dimension, linked prime ideals).
Author : John C. McConnell
Publisher : American Mathematical Soc.
Page : 658 pages
File Size : 44,76 MB
Release : 2001
Category : Mathematics
ISBN : 0821821695
This is a reprinted edition of a work that was considered the definitive account in the subject area upon its initial publication by J. Wiley & Sons in 1987. It presents, within a wider context, a comprehensive account of noncommutative Noetherian rings. The author covers the major developments from the 1950s, stemming from Goldie's theorem and onward, including applications to group rings, enveloping algebras of Lie algebras, PI rings, differential operators, and localization theory. The book is not restricted to Noetherian rings, but discusses wider classes of rings where the methods apply more generally. In the current edition, some errors were corrected, a number of arguments have been expanded, and the references were brought up to date. This reprinted edition will continue to be a valuable and stimulating work for readers interested in ring theory and its applications to other areas of mathematics.
Author : A. V. Jategaonkar
Publisher : Cambridge University Press
Page : 341 pages
File Size : 46,78 MB
Release : 1986-03-13
Category : 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.
Author : K. R. Goodearl
Publisher : Cambridge University Press
Page : 372 pages
File Size : 50,57 MB
Release : 2004-07-12
Category : 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.
Author : Andrew Ranicki
Publisher : Cambridge University Press
Page : 332 pages
File Size : 11,31 MB
Release : 2006-02-09
Category : Mathematics
ISBN : 9780521681605
Noncommutative localization is a powerful algebraic technique for constructing new rings by inverting elements, matrices and more generally morphisms of modules. Originally conceived by algebraists (notably P. M. Cohn), it is now an important tool not only in pure algebra but also in the topology of non-simply-connected spaces, algebraic geometry and noncommutative geometry. This volume consists of 9 articles on noncommutative localization in algebra and topology by J. A. Beachy, P. M. Cohn, W. G. Dwyer, P. A. Linnell, A. Neeman, A. A. Ranicki, H. Reich, D. Sheiham and Z. Skoda. The articles include basic definitions, surveys, historical background and applications, as well as presenting new results. The book is an introduction to the subject, an account of the state of the art, and also provides many references for further material. It is suitable for graduate students and more advanced researchers in both algebra and topology.
Author : R. Göbel
Publisher : Springer
Page : 526 pages
File Size : 21,1 MB
Release : 2014-05-04
Category : Mathematics
ISBN : 3709128145
Author : Surender K Jain
Publisher : World Scientific
Page : 394 pages
File Size : 12,93 MB
Release : 1993-09-30
Category :
ISBN : 9814553123
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.
Author : F.M.J. van Oystaeyen
Publisher : Springer
Page : 408 pages
File Size : 22,69 MB
Release : 2006-11-14
Category : Mathematics
ISBN : 3540386017
Author : László Fuchs
Publisher : American Mathematical Soc.
Page : 408 pages
File Size : 22,66 MB
Release : 1992
Category : Mathematics
ISBN : 082185142X
This collection of research papers is dedicated to the memory of the distinguished algebraist Robert B. Warfield, Jr. Focusing on abelian group theory and noncommutative ring theory, the book covers a wide range of topics reflecting Warfield's interests and includes two articles surveying his contributions to mathematics. Because the articles have been refereed to high standards and will not appear elsewhere, this volume is indispensable to any researcher in noncommutative ring theory or abelian group theory. With papers by some of the major leaders in the field, this book will also be important to anyone interested in these areas, as it provides an overview of current research directions.
Author :
Publisher :
Page : 256 pages
File Size : 41,39 MB
Release : 1981-06
Category :
ISBN :
