Group and Semigroup Rings
Group and Semigroup Rings

Author: G. Karpilovsky

Publisher: Elsevier

Published: 2011-09-22

Total Pages: 277

ISBN-13: 0080872379

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A broad range of topics is covered here, including commutative monoid rings, the Jacobson radical of semigroup rings, blocks of modular group algebras, nilpotency index of the radical of group algebras, the isomorphism problem for group rings, inverse semigroup algebras and the Picard group of an abelian group ring. The survey lectures provide an up-to-date account of the current state of the subject and form a comprehensive introduction for intending researchers.

Commutative Semigroup Rings
Commutative Semigroup Rings

Author: Robert Gilmer

Publisher: University of Chicago Press

Published: 1984-03-15

Total Pages: 392

ISBN-13: 0226293920

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Commutative Semigroup Rings was the first exposition of the basic properties of semigroup rings. Gilmer concentrates on the interplay between semigroups and rings, thereby illuminating both of these important concepts in modern algebra.

Semigroup Algebras
Semigroup Algebras

Author: Jan Okninski

Publisher: CRC Press

Published: 2020-08-27

Total Pages: 288

ISBN-13: 1000147665

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Gathers and unifies the results of the theory of noncommutative semigroup rings, primarily drawing on the literature of the last 10 years, and including several new results. Okninski (Warsaw U., Poland) restricts coverage to the ring theoretical properties for which a systematic treatment is current

Groups, Rings, Lie and Hopf Algebras
Groups, Rings, Lie and Hopf Algebras

Author:

Publisher: Springer Science & Business Media

Published: 2003-03-31

Total Pages: 266

ISBN-13: 9781402012204

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The volume is almost entirely composed of the research and expository papers by the participants of the International Workshop "Groups, Rings, Lie and Hopf Algebras", which was held at the Memorial University of Newfoundland, St. John's, NF, Canada. All four areas from the title of the workshop are covered. In addition, some chapters touch upon the topics, which belong to two or more areas at the same time. Audience: The readership targeted includes researchers, graduate and senior undergraduate students in mathematics and its applications.

Groups, Rings and Group Rings
Groups, Rings and Group Rings

Author: A. Giambruno

Publisher: American Mathematical Soc.

Published: 2009

Total Pages: 283

ISBN-13: 0821847716

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Represents the proceedings of the conference on Groups, Rings and Group Rings, held July 28 - August 2, 2008, in Ubatuba, Brazil. This title contains results in active research areas in the theory of groups, group rings and algebras (including noncommutative rings), polynomial identities, Lie algebras and superalgebras.

Groups, Rings, Lie and Hopf Algebras
Groups, Rings, Lie and Hopf Algebras

Author: Y. Bahturin

Publisher: Springer Science & Business Media

Published: 2013-12-01

Total Pages: 240

ISBN-13: 1461302358

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The volume is almost entirely composed of the research and expository papers by the participants of the International Workshop "Groups, Rings, Lie and Hopf Algebras", which was held at the Memorial University of Newfoundland, St. John's, NF, Canada. All four areas from the title of the workshop are covered. In addition, some chapters touch upon the topics, which belong to two or more areas at the same time. Audience: The readership targeted includes researchers, graduate and senior undergraduate students in mathematics and its applications.

Ring Constructions and Applications
Ring Constructions and Applications

Author: Andrei V. Kelarev

Publisher: World Scientific

Published: 2002

Total Pages: 218

ISBN-13: 9810247451

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This book contains the definitions of several ring constructions used in various applications. The concept of a groupoid-graded ring includes many of these constructions as special cases and makes it possible to unify the exposition. Recent research results on groupoid-graded rings and more specialized constructions are presented. In addition, there is a chapter containing open problems currently considered in the literature. Ring Constructions and Applications can serve as an excellent introduction for graduate students to many ring constructions as well as to essential basic concepts of group, semigroup and ring theories used in proofs.