Localization In 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.
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).
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.
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.
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.
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.
Localization In Noetherian Rings
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Author : A. V. Jategaonkar
language : en
Publisher: Cambridge University Press
Release Date : 1986-03-13
Localization In Noetherian Rings written by A. V. Jategaonkar 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 1986-03-13 with Mathematics categories.
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.