Algebras, Rings and Modules: Volume 1 by Michiel HazewinkelAlgebras, Rings and Modules: Volume 1 by Michiel Hazewinkel

Algebras, Rings and Modules: Volume 1

byMichiel Hazewinkel, Nadiya Gubareni, V.V. Kirichenko

Paperback | January 29, 2011

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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.

Title:Algebras, Rings and Modules: Volume 1Format:PaperbackDimensions:392 pages, 9.45 × 6.3 × 0 inPublished:January 29, 2011Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048167043

ISBN - 13:9789048167043

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From the reviews of the first edition:"This is the first of two volumes which aim to take the theory of associative rings and their modules from fundamental definitions to the research frontier. The book is written at a level intended to be accessible to students who have taken standard basic undergraduate courses in linear algebra and abstract algebra. . has been written with considerable attention to accuracy, and has been proofread with care. . A very welcome feature is the substantial set of bibliographic and historical notes at the end of each chapter." (Kenneth A. Brown, Mathematical Reviews, 2006a)"This book follows in the footsteps of the valuable work done during the seventies of systematizing the investigation of properties and structure of rings by using their categories of modules. . A remarkable novelty in the present monograph is the study of semiperfect rings by means of quivers. . Another good idea is the inclusion of the study of commutative as well as non-commutative discrete valuation rings. Each chapter ends with some illustrative historical notes." (José Gómez Torrecillas, Zentralblatt MATH, Vol. 1086 (12), 2006)