Quasi-Frobenius Rings and Generalizations PDF Download

Author: H. Tachikawa
Publisher: Springer
ISBN: 354037812X
Category : Mathematics
Languages : en
Pages : 184

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Book Description
As each animal unbuttons its buttons another animal appears.

Author: W. K. Nicholson
Publisher: Cambridge University Press
ISBN: 9780521815932
Category : Mathematics
Languages : en
Pages : 332

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Book Description
Provides an elementary account of the basic facts about quasi-Frobenius rings.

Author: W. Keith Nicholson
Publisher:
ISBN: 9780511073564
Category : Electronic books
Languages : en
Pages : 307

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Book Description
A ring is called quasi-Frobenius if it is right or left selfinjective, and right or left artinian. While the present extent of the theory of these rings is vast, this book provides a self-contained account at a level allowing researchers and graduate students to gain entry to the field.

Author: Tsit-Yuen Lam
Publisher: Springer Science & Business Media
ISBN: 1461205255
Category : Mathematics
Languages : en
Pages : 577

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Book Description
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.

Author: Minjia Shi
Publisher: Academic Press
ISBN: 0128133910
Category : Mathematics
Languages : en
Pages : 320

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Book Description
Codes and Rings: Theory and Practice is a systematic review of literature that focuses on codes over rings and rings acting on codes. Since the breakthrough works on quaternary codes in the 1990s, two decades of research have moved the field far beyond its original periphery. This book fills this gap by consolidating results scattered in the literature, addressing classical as well as applied aspects of rings and coding theory. New research covered by the book encompasses skew cyclic codes, decomposition theory of quasi-cyclic codes and related codes and duality over Frobenius rings. Primarily suitable for ring theorists at PhD level engaged in application research and coding theorists interested in algebraic foundations, the work is also valuable to computational scientists and working cryptologists in the area. - Consolidates 20+ years of research in one volume, helping researchers save time in the evaluation of disparate literature - Discusses duality formulas in the context of Frobenius rings - Reviews decomposition of quasi-cyclic codes under ring action - Evaluates the ideal and modular structure of skew-cyclic codes - Supports applications in data compression, distributed storage, network coding, cryptography and across error-correction

Author: H. Tachikawa
Publisher:
ISBN: 9783662169162
Category :
Languages : en
Pages : 188

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Book Description

Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
ISBN: 1402051417
Category : Mathematics
Languages : en
Pages : 405

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Book Description
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.

Author: T.Y. Lam
Publisher: Springer Science & Business Media
ISBN: 0387488995
Category : Mathematics
Languages : en
Pages : 427

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Book Description
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.

Author: Hiroyuki Tachikawa
Publisher:
ISBN: 9780387065014
Category : Functions, Theta
Languages : en
Pages : 137

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Book Description

Author: Paul E. Bland
Publisher: Walter de Gruyter
ISBN: 3110250225
Category : Mathematics
Languages : en
Pages : 467

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Book Description
This book is an introduction to the theory of rings and modules that goes beyond what one normally obtains in a graduate course in abstract algebra. In addition to the presentation of standard topics in ring and module theory, it also covers category theory, homological algebra and even more specialized topics like injective envelopes and proj