Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download Noetherian Rings And Rings With Polynomial Identities full books in PDF, epub, and Kindle. Read online Noetherian Rings And Rings With Polynomial Identities ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author :
Publisher :
ISBN 13 :
Total Pages : 420 pages
Book Rating : 4.E/5 ( download)
Download or read book Noetherian Rings and Rings with Polynomial Identities written by and published by . This book was released on 1979 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Claudio Procesi
Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.3/5 (91 download)
Download or read book Rings with Polynomial Identities written by Claudio Procesi and published by . This book was released on 1973 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Eli Aljadeff
Publisher : American Mathematical Soc.
ISBN 13 : 1470451743
Total Pages : 630 pages
Book Rating : 4.4/5 (74 download)
Download or read book Rings with Polynomial Identities and Finite Dimensional Representations of Algebras written by Eli Aljadeff and published by American Mathematical Soc.. This book was released on 2020-12-14 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: A polynomial identity for an algebra (or a ring) A A is a polynomial in noncommutative variables that vanishes under any evaluation in A A. An algebra satisfying a nontrivial polynomial identity is called a PI algebra, and this is the main object of study in this book, which can be used by graduate students and researchers alike. The book is divided into four parts. Part 1 contains foundational material on representation theory and noncommutative algebra. In addition to setting the stage for the rest of the book, this part can be used for an introductory course in noncommutative algebra. An expert reader may use Part 1 as reference and start with the main topics in the remaining parts. Part 2 discusses the combinatorial aspects of the theory, the growth theorem, and Shirshov's bases. Here methods of representation theory of the symmetric group play a major role. Part 3 contains the main body of structure theorems for PI algebras, theorems of Kaplansky and Posner, the theory of central polynomials, M. Artin's theorem on Azumaya algebras, and the geometric part on the variety of semisimple representations, including the foundations of the theory of Cayley–Hamilton algebras. Part 4 is devoted first to the proof of the theorem of Razmyslov, Kemer, and Braun on the nilpotency of the nil radical for finitely generated PI algebras over Noetherian rings, then to the theory of Kemer and the Specht problem. Finally, the authors discuss PI exponent and codimension growth. This part uses some nontrivial analytic tools coming from probability theory. The appendix presents the counterexamples of Golod and Shafarevich to the Burnside problem.
Author :
Publisher : Academic Press
ISBN 13 : 9780080874005
Total Pages : 365 pages
Book Rating : 4.8/5 (74 download)
Download or read book Polynomial Identities in Ring Theory written by and published by Academic Press. This book was released on 1980-07-24 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polynomial Identities in Ring Theory
Author : Lance W. Small
Publisher :
ISBN 13 :
Total Pages : 48 pages
Book Rating : 4.3/5 (91 download)
Download or read book Rings Satisfying a Polynomial Identity written by Lance W. Small and published by . This book was released on 1980 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexei Kanel-Belov
Publisher : CRC Press
ISBN 13 : 1498720099
Total Pages : 418 pages
Book Rating : 4.4/5 (987 download)
Download or read book Computational Aspects of Polynomial Identities written by Alexei Kanel-Belov and published by CRC Press. This book was released on 2015-10-22 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Aspects of Polynomial Identities: Volume l, Kemer’s Theorems, 2nd Edition presents the underlying ideas in recent polynomial identity (PI)-theory and demonstrates the validity of the proofs of PI-theorems. This edition gives all the details involved in Kemer’s proof of Specht’s conjecture for affine PI-algebras in characteristic 0. The book first discusses the theory needed for Kemer’s proof, including the featured role of Grassmann algebra and the translation to superalgebras. The authors develop Kemer polynomials for arbitrary varieties as tools for proving diverse theorems. They also lay the groundwork for analogous theorems that have recently been proved for Lie algebras and alternative algebras. They then describe counterexamples to Specht’s conjecture in characteristic p as well as the underlying theory. The book also covers Noetherian PI-algebras, Poincaré–Hilbert series, Gelfand–Kirillov dimension, the combinatoric theory of affine PI-algebras, and homogeneous identities in terms of the representation theory of the general linear group GL. Through the theory of Kemer polynomials, this edition shows that the techniques of finite dimensional algebras are available for all affine PI-algebras. It also emphasizes the Grassmann algebra as a recurring theme, including in Rosset’s proof of the Amitsur–Levitzki theorem, a simple example of a finitely based T-ideal, the link between algebras and superalgebras, and a test algebra for counterexamples in characteristic p.
Author : Lance W. Small
Publisher : American Mathematical Soc.
ISBN 13 : 0821815253
Total Pages : 130 pages
Book Rating : 4.8/5 (218 download)
Download or read book Noetherian Rings and Their Applications written by Lance W. Small and published by American Mathematical Soc.. This book was released on 1987 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: ". 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 : Edward Formanek
Publisher : American Mathematical Soc.
ISBN 13 : 9780821889220
Total Pages : 68 pages
Book Rating : 4.8/5 (892 download)
Download or read book The Polynomial Identities and Invariants of N X N Matrices written by Edward Formanek and published by American Mathematical Soc.. This book was released on with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of polynomial identities, as a well-defined field of study, began with a well-known 1948 article of Kaplansky. The field has since developed along two branches: the structural, which investigates the properties of rings which satisfy a polynomial identity; and the varietal, which investigates the set of polynomials in the free ring which vanish under all specializations in a given ring. This book is based on lectures delivered during an NSF-CBMS Regional Conference, held at DePaul University in July 1990, at which the author was the principal lecturer. The first part of the book is concerned with polynomial identity rings. The emphasis is on those parts of the theory related to n x n matrices, including the major structure theorems and the construction of certain polynomials identities and central polynomials for n x n matrices. The ring of generic matrices and its centre is described. The author then moves on to the invariants of n x n matrices, beginning with the first and second fundamental theorems, which are used to describe the polynomial identities satisfied by n x n matrices. One of the exceptional features of this book is the way it emphasizes the connection between polynomial identities and invariants of n x n matrices. Accessible to those with background at the level of a first-year graduate course in algebra, this book gives readers an understanding of polynomial identity rings and invariant theory, as well as an indication of current problems and research in these areas.
Author : Vesselin Drensky
Publisher : Birkhäuser
ISBN 13 : 3034879342
Total Pages : 197 pages
Book Rating : 4.0/5 (348 download)
Download or read book Polynomial Identity Rings written by Vesselin Drensky and published by Birkhäuser. This book was released on 2012-12-06 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes treat polynomial identity rings from both the combinatorial and structural points of view. The greater part of recent research in polynomial identity rings is about combinatorial questions, and the combinatorial part of the lecture notes gives an up-to-date account of recent research. On the other hand, the main structural results have been known for some time, and the emphasis there is on a presentation accessible to newcomers to the subject.
Author : A. V. Jategaonkar
Publisher : Cambridge University Press
ISBN 13 : 0521317134
Total Pages : 341 pages
Book Rating : 4.5/5 (213 download)
Download or read book Localization in Noetherian Rings written by A. V. Jategaonkar and published by Cambridge University Press. This book was released on 1986-03-13 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : John C. McConnell
Publisher : American Mathematical Soc.
ISBN 13 : 0821821695
Total Pages : 658 pages
Book Rating : 4.8/5 (218 download)
Download or read book Noncommutative Noetherian Rings written by John C. McConnell and published by American Mathematical Soc.. This book was released on 2001 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : K. R. Goodearl
Publisher : Cambridge University Press
ISBN 13 : 9780521545372
Total Pages : 372 pages
Book Rating : 4.5/5 (453 download)
Download or read book An Introduction to Noncommutative Noetherian Rings written by K. R. Goodearl and published by Cambridge University Press. This book was released on 2004-07-12 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Eric Jespers
Publisher : Springer Science & Business Media
ISBN 13 : 1402058101
Total Pages : 364 pages
Book Rating : 4.4/5 (2 download)
Download or read book Noetherian Semigroup Algebras written by Eric Jespers and published by Springer Science & Business Media. This book was released on 2007-03-15 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a comprehensive treatment of the main results and methods of the theory of Noetherian semigroup algebras. These results are applied and illustrated in the context of important classes of algebras that arise in a variety of areas and have recently been intensively studied. The focus is on the interplay between combinatorics and algebraic structure. Mathematical physicists will find this work interesting for its attention to applications of the Yang-Baxter equation.
Author : Susan Montgomery
Publisher : Springer Science & Business Media
ISBN 13 : 1461397367
Total Pages : 182 pages
Book Rating : 4.4/5 (613 download)
Download or read book Noncommutative Rings written by Susan Montgomery and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Louis H. Rowen
Publisher : Academic Press
ISBN 13 : 0080925480
Total Pages : 653 pages
Book Rating : 4.0/5 (89 download)
Download or read book Ring Theory, 83 written by Louis H. Rowen and published by Academic Press. This book was released on 2012-12-02 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an abridged edition of the author's previous two-volume work, Ring Theory, which concentrates on essential material for a general ring theory course while ommitting much of the material intended for ring theory specialists. It has been praised by reviewers:**"As a textbook for graduate students, Ring Theory joins the best....The experts will find several attractive and pleasant features in Ring Theory. The most noteworthy is the inclusion, usually in supplements and appendices, of many useful constructions which are hard to locate outside of the original sources....The audience of nonexperts, mathematicians whose speciality is not ring theory, will find Ring Theory ideally suited to their needs....They, as well as students, will be well served by the many examples of rings and the glossary of major results."**--NOTICES OF THE AMS
Author : Shimshon A. Amitsur
Publisher : American Mathematical Soc.
ISBN 13 : 082185013X
Total Pages : 420 pages
Book Rating : 4.8/5 (218 download)
Download or read book Algebraists' Homage: Papers in Ring Theory and Related Topics written by Shimshon A. Amitsur and published by American Mathematical Soc.. This book was released on 1982 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Shimshon A. Amitsur
Publisher : American Mathematical Soc.
ISBN 13 : 9780821829240
Total Pages : 626 pages
Book Rating : 4.8/5 (292 download)
Download or read book Selected Papers of S. A. Amitsur with Commentary written by Shimshon A. Amitsur and published by American Mathematical Soc.. This book was released on 2001 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handsomely-bound volume presents selected papers written by S.A. Amitsur on various topics in algebra. The approximately 50 papers in the first volume deal with general ring theory and rings satisfying a polynomial identity. A sampling of topics includes algebras over infinite fields, commutative linear differential operators, a generalization of Hilbert's Nullstellensatz, and central embeddings in semi-simple rings. Two essays on Amitsur's work and a biography also are included. The volume is not indexed. c. Book News Inc.
