Lectures on Modules and Rings

Author: Tsit-Yuen Lam

Publisher: Springer Science & Business Media

ISBN: 1461205255

Category: Mathematics

Page: 557

View: 2375

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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: 7336

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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: 8757

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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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Algebras, Rings and Modules

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

Publisher: Springer Science & Business Media

ISBN: 1402051417

Category: Mathematics

Page: 400

View: 7220

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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

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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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Noncommutative Rings

Author: I. N. Herstein

Publisher: Cambridge University Press

ISBN: 9780883850398

Category: Mathematics

Page: 202

View: 2814

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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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