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.

Theory of Radicals
Theory of Radicals

Author: L. Márki

Publisher: Elsevier

Published: 2014-05-21

Total Pages: 311

ISBN-13: 148329644X

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Radicals arose originally from structural investigations in rings, but later on they infiltrated into various branches of algebra, as well as into topology and relational structures. This volume is the result of a conference attended by mathematicians from all five continents and thus represents the current state of research in the area.

Semigroup Algebras
Semigroup Algebras

Author: Jan Okninski

Publisher: CRC Press

Published: 2020-08-26

Total Pages: 376

ISBN-13: 1000104451

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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 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.

Rings, Modules and Codes
Rings, Modules and Codes

Author: André Leroy

Publisher: American Mathematical Soc.

Published: 2019-04-12

Total Pages: 370

ISBN-13: 1470441047

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This book contains the proceedings of the Fifth International Conference on Noncommutative Rings and their Applications, held from June 12–15, 2017, at the University of Artois, Lens, France. The papers are related to noncommutative rings, covering topics such as: ring theory, with both the elementwise and more structural approaches developed; module theory with popular topics such as automorphism invariance, almost injectivity, ADS, and extending modules; and coding theory, both the theoretical aspects such as the extension theorem and the more applied ones such as Construction A or Reed–Muller codes. Classical topics like enveloping skewfields, weak Hopf algebras, and tropical algebras are also presented.

Abelian Groups, Rings and Modules
Abelian Groups, Rings and Modules

Author: Andrei V. Kelarev

Publisher: American Mathematical Soc.

Published: 2001

Total Pages: 322

ISBN-13: 0821827510

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This volume presents the proceedings from the conference on Abelian Groups, Rings, and Modules (AGRAM) held at the University of Western Australia (Perth). Included are articles based on talks given at the conference, as well as a few specially invited papers. The proceedings were dedicated to Professor László Fuchs. The book includes a tribute and a review of his work by his long-time collaborator, Professor Luigi Salce. Four surveys from leading experts follow Professor Salce's article. They present recent results from active research areas

Semigroups, Algorithms, Automata, and Languages
Semigroups, Algorithms, Automata, and Languages

Author: Gracinda M. S. Gomes

Publisher: World Scientific

Published: 2002

Total Pages: 526

ISBN-13: 981238099X

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The thematic term on ?Semigroups, Algorithms, Automata and Languages? organized at the International Centre of Mathematics (Coimbra, Portugal) in May-July 2001 was the gathering point for researchers working in the field of semigroups, algorithms, automata and languages. These areas were selected considering their huge recent developments, their potential applications, and the motivation from other fields of mathematics and computer science.This proceedings volume is a unique collection of advanced courses and original contributions on semigroups and their connections with logic, automata, languages, group theory, discrete dynamics, topology and complexity. A selection of open problems discussed during the thematic term is also included.