Localization Of Non Commutative Rings

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Localization Of Noncommutative Rings

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Author : Jonathan S. Golan
language : en
Publisher: CRC Press
Release Date : 1975-01-01

Localization Of Noncommutative Rings written by Jonathan S. Golan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-01-01 with Mathematics categories.

Noncommutative Localization In Algebra And Topology

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Author : Andrew Ranicki
language : en
Publisher: Cambridge University Press
Release Date : 2006-02-09

Noncommutative Localization In Algebra And Topology written by Andrew Ranicki and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-09 with Mathematics categories.

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.

Localization Of Non Commutative Rings

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Author : Daniel Wood Krider
language : en
Publisher:
Release Date : 1970

Localization Of Non Commutative Rings written by Daniel Wood Krider and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Rings (Algebra) categories.

Noncommutative Ring Theory

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Author : J.H. Cozzens
language : en
Publisher: Springer
Release Date : 2006-11-14

Noncommutative Ring Theory written by J.H. Cozzens and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

An Introduction To Noncommutative Noetherian Rings

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Author : K. R. Goodearl
language : en
Publisher: Cambridge University Press
Release Date : 1989

An Introduction To Noncommutative Noetherian Rings written by K. R. Goodearl and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.

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

A First Course In Noncommutative Rings

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Author : T.Y. Lam
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

A First Course In Noncommutative Rings written by T.Y. Lam and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

One of my favorite graduate courses at Berkeley is Math 251, a one-semester course in ring theory offered to second-year level graduate students. I taught this course in the Fall of 1983, and more recently in the Spring of 1990, both times focusing on the theory of noncommutative rings. This book is an outgrowth of my lectures in these two courses, and is intended for use by instructors and graduate students in a similar one-semester course in basic ring theory. Ring theory is a subject of central importance in algebra. Historically, some of the major discoveries in ring theory have helped shape the course of development of modern abstract algebra. Today, ring theory is a fer tile meeting ground for group theory (group rings), representation theory (modules), functional analysis (operator algebras), Lie theory (enveloping algebras), algebraic geometry (finitely generated algebras, differential op erators, invariant theory), arithmetic (orders, Brauer groups), universal algebra (varieties of rings), and homological algebra (cohomology of rings, projective modules, Grothendieck and higher K-groups). In view of these basic connections between ring theory and other branches of mathemat ics, it is perhaps no exaggeration to say that a course in ring theory is an indispensable part of the education for any fledgling algebraist. The purpose of my lectures was to give a general introduction to the theory of rings, building on what the students have learned from a stan dard first-year graduate course in abstract algebra.

Advances In Non Commutative Ring Theory

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Author : P. J. Fleury
language : en
Publisher: Springer
Release Date : 2006-11-15

Advances In Non Commutative Ring Theory written by P. J. Fleury and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

Localization In Non Commutative Rings

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Author : Bruno J. Mueller
language : en
Publisher:
Release Date : 1975

Localization In Non Commutative Rings written by Bruno J. Mueller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Noncommutative rings categories.

Noncommutative Rings

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Author : Susan Montgomery
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Noncommutative Rings written by Susan Montgomery and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

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 . . . . . .

Non Commutative Ring Theory

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Author : Surender K. Jain
language : en
Publisher: Springer
Release Date : 2006-11-14

Non Commutative Ring Theory written by Surender K. Jain and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

The papers of this volume share as a common goal the structure and classi- fication of noncommutative rings and their modules, and deal with topics of current research including: localization, serial rings, perfect endomorphism rings, quantum groups, Morita contexts, generalizations of injectivitiy, and Cartan matrices.