Lectures on Modules and Rings

Author: Tsit-Yuen Lam

Publisher: Springer Science & Business Media

ISBN: 1461205255

Category: Mathematics

Page: 557

View: 7794

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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.
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Exercises in Modules and Rings

Author: T.Y. Lam

Publisher: Springer Science & Business Media

ISBN: 9780387488998

Category: Mathematics

Page: 414

View: 4037

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This volume offers a compendium of exercises of varying degree of difficulty in the theory of modules and rings. It is the companion volume to GTM 189. All exercises are solved in full detail. Each section begins with an introduction giving the general background and the theoretical basis for the problems that follow.
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A First Course in Noncommutative Rings

Author: Tsit-Yuen Lam

Publisher: Springer Science & Business Media

ISBN: 1441986162

Category: Mathematics

Page: 388

View: 1943

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Aimed at the novice rather than the connoisseur and stressing the role of examples and motivation, this text is suitable not only for use in a graduate course, but also for self-study in the subject by interested graduate students. More than 400 exercises testing the understanding of the general theory in the text are included in this new edition.
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Advances in Rings and Modules

Author: Sergio R. López-Permouth,Jae Keol Park,S. Tariq Rizvi,Cosmin S. Roman

Publisher: American Mathematical Soc.

ISBN: 1470435551

Category: Modules (Algebra)

Page: 283

View: 3035

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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.
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Algebras, Rings and Modules

Author: Michiel Hazewinkel,Nadiya Gubareni,V.V. Kirichenko

Publisher: Springer Science & Business Media

ISBN: 1402051417

Category: Mathematics

Page: 400

View: 881

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This second volume of this text covers the classical aspects of the theory of groups and their representations. It also offers a general introduction to the modern theory of representations including the representations of quivers and finite partially ordered sets and their applications to finite dimensional algebras. It reviews key recent developments in the theory of special ring classes including Frobenius, quasi-Frobenius, and others.
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Contributions in Algebra and Algebraic Geometry

Author: Shrikrishna G. Dani,Surender K. Jain,Jugal K. Verma,Meenakshi P. Wasadikar

Publisher: American Mathematical Soc.

ISBN: 1470447355

Category: Education

Page: 147

View: 8165

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This volume contains the proceedings of the International Conference on Algebra, Discrete Mathematics and Applications, held from December 9–11, 2017, at Dr. Babasaheb Ambedkar Marathwada University, Aurangabad (Maharashtra), India. Contemporary topics of research in algebra and its applications to algebraic geometry, Lie groups, algebraic combinatorics, and representation theory are covered. The articles are devoted to Leavitt path algebras, roots of elements in Lie groups, Hilbert's Nullstellensatz, mixed multiplicities of ideals, singular matrices, rings of integers, injective hulls of modules, representations of linear, symmetric groups and Lie algebras, the algebra of generic matrices and almost injective modules.
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Lectures in Abstract Algebra I

Basic Concepts

Author: N. Jacobson

Publisher: Springer Science & Business Media

ISBN: 1468473018

Category: Mathematics

Page: 217

View: 1857

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The present volume is the first of three that will be published under the general title Lectures in Abstract Algebra. These vol umes are based on lectures which the author has given during the past ten years at the University of North Carolina, at The Johns Hopkins University, and at Yale "University. The general plan of the work IS as follows: The present first volume gives an introduction to abstract algebra and gives an account of most of the important algebraIc concepts. In a treatment of this type it is impossible to give a comprehensive account of the topics which are introduced. Nevertheless we have tried to go beyond the foundations and elementary properties of the algebraic sys tems. This has necessitated a certain amount of selection and omission. We feel that even at the present stage a deeper under standing of a few topics is to be preferred to a superficial under standing of many. The second and third volumes of this work will be more special ized in nature and will attempt to give comprehensive accounts of the topics which they treat. Volume II will bear the title Linear Algebra and will deal with the theorv of vectQ!_JlP. -a. ces. . . . . Volume III, The Theory of Fields and Galois Theory, will be con cerned with the algebraic structure offieras and with valuations of fields. All three volumes have been planned as texts for courses.
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Noncommutative Rings

Author: I. N. Herstein

Publisher: Cambridge University Press

ISBN: 9780883850398

Category: Mathematics

Page: 202

View: 3359

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A cross-section of ideas, techniques and results that give the reader an unparalleled introductory overview of the subject.
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