Notes from a Ring Theory Conference

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Publisher : Amer Mathematical Society
ISBN 13 : 9780821841594
Total Pages : 38 pages
Book Rating : 4.8/5 (415 download)

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Book Synopsis Notes from a Ring Theory Conference by : I. N. Herstein

Download or read book Notes from a Ring Theory Conference written by I. N. Herstein and published by Amer Mathematical Society. This book was released on 2007-03-29 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes represent the material presented in the first eight of ten lectures at a CBMS Regional Conference which was held in Norman, Oklahoma, in June 1970. The author chose those results which seemed to him representative of their areas both as a technique and flavor. The main topics are affine rings, rings of quotients, group algebras, $W^a$-algebras, polynomial identities and their generalizations. In most of the areas touched upon, much work remains to be done; the results developed are merely beginnings of large areas of research that could, or should, be carried out.

Algebra II Ring Theory

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642653219
Total Pages : 319 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Algebra II Ring Theory by : Carl Faith

Download or read book Algebra II Ring Theory written by Carl Faith and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on Modules and Rings

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Publisher : Springer Science & Business Media
ISBN 13 : 1461205255
Total Pages : 577 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Lectures on Modules and Rings by : Tsit-Yuen Lam

Download or read book Lectures on Modules and Rings written by Tsit-Yuen Lam and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new book can be read independently from the first volume and may be used for lecturing, seminar- and self-study, or for general reference. It focuses more on specific topics in order to introduce readers to a wealth of basic and useful ideas without the hindrance of heavy machinery or undue abstractions. User-friendly with its abundance of examples illustrating the theory at virtually every step, the volume contains a large number of carefully chosen exercises to provide newcomers with practice, while offering a rich additional source of information to experts. A direct approach is used in order to present the material in an efficient and economic way, thereby introducing readers to a considerable amount of interesting ring theory without being dragged through endless preparatory material.

Polynomial Identities in Ring Theory

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Author :
Publisher : Academic Press
ISBN 13 : 0080874002
Total Pages : 387 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Polynomial Identities in Ring Theory by :

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 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polynomial Identities in Ring Theory

Ring Theory

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Publisher : Springer
ISBN 13 : 3540398333
Total Pages : 237 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Ring Theory by : Freddy M.J. van Oystaeyen

Download or read book Ring Theory written by Freddy M.J. van Oystaeyen and published by Springer. This book was released on 2006-11-14 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lecture Notes on Nil-Theta Functions

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821816845
Total Pages : 106 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lecture Notes on Nil-Theta Functions by : Louis Auslander

Download or read book Lecture Notes on Nil-Theta Functions written by Louis Auslander and published by American Mathematical Soc.. This book was released on 1977 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consists of three chapters covering the following topics: foundations, bilinear forms and presentations of certain 2-step nilpotent Lie groups, discrete subgroups of the Heisenberg group, the automorphism group of the Heisenberg group, fundamental unitary representations of the Heisenberg group, and the Fourier transform and the Weil-Brezin map.

The Algebraic Structure of Group Rings

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486482065
Total Pages : 754 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis The Algebraic Structure of Group Rings by : Donald S. Passman

Download or read book The Algebraic Structure of Group Rings written by Donald S. Passman and published by Courier Corporation. This book was released on 2011-01-01 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: "'Highly recommended' by the Bulletin of the London Mathematical Society, this book offers a comprehensive, self-contained treatment of group rings. The subject involves the intersection of two essentially different disciplines, group theory and ring theory. The Bulletin of the American Mathematical Society hailed this treatment as 'a majestic account,' proclaiming it "encyclopedic and lucid." 1985 edition"--

Exercises in Classical Ring Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 0387217711
Total Pages : 369 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Exercises in Classical Ring Theory by : T.Y. Lam

Download or read book Exercises in Classical Ring Theory written by T.Y. Lam and published by Springer Science & Business Media. This book was released on 2006-05-09 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: " This useful book, which grew out of the author's lectures at Berkeley, presents some 400 exercises of varying degrees of difficulty in classical ring theory, together with complete solutions, background information, historical commentary, bibliographic details, and indications of possible improvements or generalizations. The book should be especially helpful to graduate students as a model of the problem-solving process and an illustration of the applications of different theorems in ring theory. The author also discusses "the folklore of the subject: the 'tricks of the trade' in ring theory, which are well known to the experts in the field but may not be familiar to others, and for which there is usually no good reference". The problems are from the following areas: the Wedderburn-Artin theory of semisimple rings, the Jacobson radical, representation theory of groups and algebras, (semi)prime rings, (semi)primitive rings, division rings, ordered rings, (semi)local rings, the theory of idempotents, and (semi)perfect rings. Problems in the areas of module theory, category theory, and rings of quotients are not included, since they will appear in a later book. " (T. W. Hungerford, Mathematical Reviews)

Ring Theory V2

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Author :
Publisher : Academic Press
ISBN 13 : 0080874479
Total Pages : 477 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Ring Theory V2 by :

Download or read book Ring Theory V2 written by and published by Academic Press. This book was released on 1988-07-01 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ring Theory V2

Polynomial Identity Rings

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Author :
Publisher : Birkhäuser
ISBN 13 : 3034879342
Total Pages : 197 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Polynomial Identity Rings by : Vesselin Drensky

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.

Transference Methods in Analysis

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821816810
Total Pages : 68 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Transference Methods in Analysis by : Ronald Rapha‘l Coifman

Download or read book Transference Methods in Analysis written by Ronald Rapha‘l Coifman and published by American Mathematical Soc.. This book was released on 1977-12-31 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: These ten lectures were presented by Guido Weiss at the University of Nebraska during the week of May 31 to June 4, 1976. They were a part of the Regional Conference Program sponsored by the Conference Board of the Mathematical Sciences and funded by the National Science Foundation. The topic chosen, ``the transference method'', involves a very simple idea that can be applied to several different branches of analysis. The authors have chosen familiar special cases in order to illustrate the use of transference: much that involves general locally compact abelian groups can be understood by examining the real line; the group of rotations can be used to explain what can be done with compact groups; $SL(2,\mathbf C)$ plays the same role vis-a-vis noncompact semisimple Lie groups. The main theme of these lectures is the interplay between properties of convolution operators on classical groups (such as the reals, integers, the torus) and operators associated with more general measure spaces. The basic idea behind this interplay is the notion of transferred operator; these are operators ``obtained'' from convolutions by replacing the translation by some action of the group (or, in some cases, a semigroup) and give rise, among other things, to an interaction between ergodic theory and harmonic analysis. There are illustrations of these ideas. A graduate student in analysis would be able to read most of this book. The work is partly expository, but is mostly ``self-contained''.

Lectures on Linear Groups

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821888698
Total Pages : 102 pages
Book Rating : 4.8/5 (886 download)

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Book Synopsis Lectures on Linear Groups by : Onorato Timothy O'Meara

Download or read book Lectures on Linear Groups written by Onorato Timothy O'Meara and published by American Mathematical Soc.. This book was released on 1974 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on Symplectic Manifolds

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821816799
Total Pages : 58 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lectures on Symplectic Manifolds by : Alan Weinstein

Download or read book Lectures on Symplectic Manifolds written by Alan Weinstein and published by American Mathematical Soc.. This book was released on 1977 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features notes with sections containing a description of some of the basic constructions and results on symplectic manifolds and lagrangian submanifolds. This title also includes sections dealing with various aspects of the quantization problem, as wel as those giving a feedback of ideas from quantization theory into symplectic geometry itslef.

Hopf Algebras and Their Actions on Rings

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821807382
Total Pages : 258 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Hopf Algebras and Their Actions on Rings by : Susan Montgomery

Download or read book Hopf Algebras and Their Actions on Rings written by Susan Montgomery and published by American Mathematical Soc.. This book was released on 1993-10-28 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last ten years have seen a number of significant advances in Hopf algebras. The best known is the introduction of quantum groups, which are Hopf algebras that arose in mathematical physics and now have connections to many areas of mathematics. In addition, several conjectures of Kaplansky have been solved, the most striking of which is a kind of Lagrange's theorem for Hopf algebras. Work on actions of Hopf algebras has unified earlier results on group actions, actions of Lie algebras, and graded algebras. This book brings together many of these recent developments from the viewpoint of the algebraic structure of Hopf algebras and their actions and coactions. Quantum groups are treated as an important example, rather than as an end in themselves. The two introductory chapters review definitions and basic facts; otherwise, most of the material has not previously appeared in book form. Providing an accessible introduction to Hopf algebras, this book would make an excellent graduate textbook for a course in Hopf algebras or an introduction to quantum groups.

Lectures on Set Theoretic Topology

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 082181673X
Total Pages : 82 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lectures on Set Theoretic Topology by : Mary Ellen Rudin

Download or read book Lectures on Set Theoretic Topology written by Mary Ellen Rudin and published by American Mathematical Soc.. This book was released on 1975-12-31 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey presents some recent results connecting set theory with the problems of general topology, primarily giving the applications of classical set theory in general topology and not considering problems involving large numbers. The lectures are completely self-contained--this is a good reference book on modern questions of general topology and can serve as an introduction to the applications of set theory and infinite combinatorics.

Euler Products and Eisenstein Series

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821805746
Total Pages : 282 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Euler Products and Eisenstein Series by : Gorō Shimura

Download or read book Euler Products and Eisenstein Series written by Gorō Shimura and published by American Mathematical Soc.. This book was released on 1997 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume has three chief objectives: 1) the determination of local Euler factors on classical groups in an explicit rational form; 2) Euler products and Eisenstein series on a unitary group of an arbitrary signature; and 3) a class number formula for a totally definite hermitian form. Though these are new results that have never before been published, Shimura starts with a quite general setting. He includes many topics of an expository nature so that the book can be viewed as an introduction to the theory of automorphic forms of several variables, Hecke theory in particular. Eventually, the exposition is specialized to unitary groups, but they are treated as a model case so that the reader can easily formulate the corresponding facts for other groups. There are various facts on algebraic groups and their localizations that are standard but were proved in some old papers or just called well-known. In this book, the reader will find the proofs of many of them, as well as systematic expositions of the topics. This is the first book in which the Hecke theory of a general (nonsplit) classical group is treated. The book is practically self-contained, except that familiarity with algebraic number theory is assumed.

Lectures on Linear Partial Differential Equations

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821816675
Total Pages : 68 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lectures on Linear Partial Differential Equations by : L. Nirenberg

Download or read book Lectures on Linear Partial Differential Equations written by L. Nirenberg and published by American Mathematical Soc.. This book was released on 1973 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the outgrowth of a series of lectures presented at a CBMS Regional Conference held at Texas Tech University in May 1972. In these lectures the author takes up several topics in the theory of linear partial differential equations, beginning with rather elementary, expository material, and going on to some of the current developments and techniques. The lectures are meant for the nonexpert, as an introduction to some of the current questions and ideas. Since the author wished to include some deep results, he has been technical on some occasions, but he has endeavored to describe the necessary background.