Localization In Noetherian Rings

Author : Jategaonkar
Publisher : Unknown
Page : 324 pages
File Size : 53,5 Mb
Release : 1986
Category : Electronic
ISBN : 1107046246

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Localization in Noetherian Rings by Jategaonkar Pdf

Author : A. V. Jategaonkar
Publisher : Cambridge University Press
Page : 341 pages
File Size : 52,5 Mb
Release : 1986-03-13
Category : Mathematics
ISBN : 9780521317139

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Localization in Noetherian Rings by A. V. Jategaonkar Pdf

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,Robert B. Warfield
Publisher : Cambridge University Press
Page : 328 pages
File Size : 50,6 Mb
Release : 1989
Category : Mathematics
ISBN : 0521369258

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An Introduction to Noncommutative Noetherian Rings by K. R. Goodearl,Robert B. Warfield Pdf

Introduces and applies the standard techniques in the area (ring of fractions, bimodules, Krull dimension, linked prime ideals).

Author : Christine M. Leroux
Publisher : Unknown
Page : 0 pages
File Size : 44,6 Mb
Release : 2013
Category : Electronic
ISBN : OCLC:1404950686

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On universal localization of noncommutative Noetherian rings by Christine M. Leroux Pdf

Author : John C. McConnell,James Christopher Robson,Lance W. Small
Publisher : American Mathematical Soc.
Page : 658 pages
File Size : 46,9 Mb
Release : 2001
Category : Mathematics
ISBN : 9780821821695

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Noncommutative Noetherian Rings by John C. McConnell,James Christopher Robson,Lance W. Small Pdf

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 : Robin Hartshorne
Publisher : Springer Science & Business Media
Page : 511 pages
File Size : 55,7 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781475738490

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Algebraic Geometry by Robin Hartshorne Pdf

An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific examples as well as more specialised topics not treated in the main text, while three appendices present brief accounts of some areas of current research. This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra. Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. He is the author of "Residues and Duality", "Foundations of Projective Geometry", "Ample Subvarieties of Algebraic Varieties", and numerous research titles.

Author : Lance W. Small
Publisher : American Mathematical Soc.
Page : 130 pages
File Size : 42,9 Mb
Release : 1987
Category : Mathematics
ISBN : 9780821815250

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Noetherian Rings and Their Applications by Lance W. Small Pdf

". 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.

Author : Sergio R. López-Permouth,Jae Keol Park,S. Tariq Rizvi,Cosmin S. Roman
Publisher : American Mathematical Soc.
Page : 283 pages
File Size : 48,9 Mb
Release : 2018-09-06
Category : Modules (Algebra)
ISBN : 9781470435554

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Advances in Rings and Modules by Sergio R. López-Permouth,Jae Keol Park,S. Tariq Rizvi,Cosmin S. Roman Pdf

This volume, dedicated to Bruno J. Müller, a renowned algebraist, is a collection of papers that provide a snapshot of the diversity of themes and applications that interest algebraists today. The papers highlight the latest progress in ring and module research and present work done on the frontiers of the topics discussed. In addition, selected expository articles are included to give algebraists and other mathematicians, including graduate students, an accessible introduction to areas that may be outside their own expertise.

Author : K. R. Goodearl,Robert B. Warfield
Publisher : Cambridge University Press
Page : 372 pages
File Size : 43,8 Mb
Release : 2004-07-12
Category : Mathematics
ISBN : 0521545374

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An Introduction to Noncommutative Noetherian Rings by K. R. Goodearl,Robert B. Warfield Pdf

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 : Susan Montgomery,Lance Small
Publisher : Springer Science & Business Media
Page : 182 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461397366

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Noncommutative Rings by Susan Montgomery,Lance Small Pdf

This volume collects some of the survey lectures delivered at the Micro program on Noncommutative Rings held at MSRI, July 10-21, 1989. While the program was concerned with recent advances in ring theory, it also had as an important component lectures on related areas of mathematics where ring theory might be expected to have an impact. Thus, there are lectures of S. P. Smith on quantum groups and Marc Ri effel on algebraic aspects of quantum field theory. Martin Lorenz and Don ald Passman consider in their lectures various aspects of crossed products: homological and K-theoretic to group actions. Kenneth Brown presents the "modern" theory of Noetherian rings and localization. These contributions as well as the others not presented here show that ring theory remains a vigorous and useful area. The planning and organization of the program were done by the under signed and the late Robert Warfield. His illness prevented his attendance at the meeting. It is to him we dedicate this volume. The organizers wish to extend their thanks to Irving Kaplansky, Director of MSRI, and the staff for all of their efforts in making this conference such a success. Susan Montgomery Lance Small vii NONCOMMUTATIVE RINGS TABLE OF CONTENTS PREFACE. . . . . . . . . . . . . . . . . . . . . . .. . . . Vll . . . . . . . . . . K. A. Brown THE REPRESENTATION THEORY OF NOETHERIAN RINGS 1 A. Joseph SOME RING THEORETIC TECHNIQUES AND OPEN PROBLEMS IN ENVELOPING ALGEBRAS. . . . . . . . . . . 27 . . . M. Lorenz CROSSED PRODUCTS: CHARACTERS, CYCLIC HOMOLOGY, AND GROTHENDIECK GROUPS . . . . . . . . . . . . . . . 69 . . . . . .

Author : Cristodor Ionescu
Publisher : Springer Nature
Page : 487 pages
File Size : 48,6 Mb
Release : 2023-03-28
Category : Mathematics
ISBN : 9783031222924

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Classes of Good Noetherian Rings by Cristodor Ionescu Pdf

This monograph provides an exhaustive treatment of several classes of Noetherian rings and morphisms of Noetherian local rings. Chapters carefully examine some of the most important topics in the area, including Nagata, F-finite and excellent rings, Bertini’s Theorem, and Cohen factorizations. Of particular interest is the presentation of Popescu’s Theorem on Neron Desingularization and the structure of regular morphisms, with a complete proof. Classes of Good Noetherian Rings will be an invaluable resource for researchers in commutative algebra, algebraic and arithmetic geometry, and number theory.

Author : Lee Klingler,Lawrence S. Levy
Publisher : American Mathematical Soc.
Page : 170 pages
File Size : 45,5 Mb
Release : 2005
Category : Mathematics
ISBN : 9780821837382

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Representation Type of Commutative Noetherian Rings III: Global Wildness and Tameness by Lee Klingler,Lawrence S. Levy Pdf

This memoir completes the series of papers beginning with [KL1,KL2], showing that, for a commutative noetherian ring $\Lambda$, either the category of $\Lambda$-modules of finite length has wild representation type or else we can describe the category of finitely generated $\Lambda$-modules, including their direct-sum relations and local-global relations. (There is a possible exception to our results, involving characteristic 2.)

Author : László Fuchs
Publisher : American Mathematical Soc.
Page : 408 pages
File Size : 51,5 Mb
Release : 1992
Category : Mathematics
ISBN : 9780821851425

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Abelian Groups and Noncommutative Rings: A Collection of Papers in Memory of Robert B. Warfield, Jr. by László Fuchs Pdf

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 : Bruno J. Müller
Publisher : Unknown
Page : 78 pages
File Size : 55,7 Mb
Release : 1974
Category : Commutative rings
ISBN : UOM:39015035216517

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Localization of Non-commutative Noetherian Rings at Semiprime Ideals by Bruno J. Müller Pdf

Author : Surender K Jain,Syed Tariq Rizvi
Publisher : World Scientific
Page : 394 pages
File Size : 40,9 Mb
Release : 1993-09-30
Category : Electronic
ISBN : 9789814553124

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Ring Theory - Proceedings Of The Biennial Ohio State-denison Conference 1992 by Surender K Jain,Syed Tariq Rizvi Pdf

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.