The Algebraic Theory of Semigroups, Volume I

The Algebraic Theory of Semigroups, Volume I

Author: Alfred Hoblitzelle Clifford

Publisher: American Mathematical Soc.

Published: 1961-12-31

Total Pages: 242

ISBN-13: 0821802712

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The material in this volume was presented in a second-year graduate course at Tulane University, during the academic year 1958-1959. The book aims at being largely self-contained, but it is assumed that the reader has some familiarity with sets, mappings, groups, and lattices. Only in Chapter 5 will more preliminary knowledge be required, and even there the classical definitions and theorems on the matrix representations of algebras and groups are summarized.


The Algebraic Theory of Semigroups

The Algebraic Theory of Semigroups

Author: A. H. Clifford

Publisher: American Mathematical Soc.

Published: 1961

Total Pages: 370

ISBN-13: 082187389X

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Presents a survey of the structure and representation theory of semi groups. This book describes the theories of minimal ideals in a semi group, inverse semi groups, simple semi groups, congruences on a semi group, and the embedding of a semigroup in a group.


Finite Semigroups And Universal Algebra

Finite Semigroups And Universal Algebra

Author: Jorge Almeida

Publisher: World Scientific

Published: 1995-01-27

Total Pages: 532

ISBN-13: 9814501565

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Motivated by applications in theoretical computer science, the theory of finite semigroups has emerged in recent years as an autonomous area of mathematics. It fruitfully combines methods, ideas and constructions from algebra, combinatorics, logic and topology. In simple terms, the theory aims at a classification of finite semigroups in certain classes called “pseudovarieties”. The classifying characteristics have both structural and syntactical aspects, the general connection between them being part of universal algebra. Besides providing a foundational study of the theory in the setting of arbitrary abstract finite algebras, this book stresses the syntactical approach to finite semigroups. This involves studying (relatively) free and profinite free semigroups and their presentations. The techniques used are illustrated in a systematic study of various operators on pseudovarieties of semigroups.


Semigroups and Their Applications

Semigroups and Their Applications

Author: Simon M. Goberstein

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 214

ISBN-13: 940093839X

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Most papers published in this volume are based on lectures presented at the Chico Conference on Semigroups held on the Chico campus of the Cal ifornia State University on April 10-12, 1986. The conference was spon sored by the California State University, Chico in cooperation with the Engineering Computer Sciences Department of the Pacific Gas and Electric Company. The program included seven 50-minute addresses and seventeen 30-minute lectures. Speakers were invited by the organizing committee consisting of S. M. Goberstein and P. M. Higgins. The purpose of the conference was to bring together some of the leading researchers in the area of semigroup theory for a discussion of major recent developments in the field. The algebraic theory of semigroups is growing so rapidly and new important results are being produced at such a rate that the need for another meeting was well justified. It was hoped that the conference would help to disseminate new results more rapidly among those working in semi groups and related areas and that the exchange of ideas would stimulate research in the subject even further. These hopes were realized beyond all expectations.


The q-theory of Finite Semigroups

The q-theory of Finite Semigroups

Author: John Rhodes

Publisher: Springer Science & Business Media

Published: 2009-04-05

Total Pages: 674

ISBN-13: 0387097813

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This comprehensive, encyclopedic text in four parts aims to give the reader — from the graduate student to the researcher/practitioner — a detailed understanding of modern finite semigroup theory, focusing in particular on advanced topics on the cutting edge of research. The q-theory of Finite Semigroups presents important techniques and results, many for the first time in book form, thereby updating and modernizing the semigroup theory literature.


The Algebraic Theory of Semigroups

The Algebraic Theory of Semigroups

Author: A. H. Clifford

Publisher: American Mathematical Soc.

Published: 1961

Total Pages: 370

ISBN-13: 082187389X

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Presents a survey of the structure and representation theory of semi groups. This book describes the theories of minimal ideals in a semi group, inverse semi groups, simple semi groups, congruences on a semi group, and the embedding of a semigroup in a group.


Semihypergroup Theory

Semihypergroup Theory

Author: Bijan Davvaz

Publisher: Academic Press

Published: 2016-06-24

Total Pages: 166

ISBN-13: 0128099259

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Semihypergroup Theory is the first book devoted to the semihypergroup theory and it includes basic results concerning semigroup theory and algebraic hyperstructures, which represent the most general algebraic context in which reality can be modelled. Hyperstructures represent a natural extension of classical algebraic structures and they were introduced in 1934 by the French mathematician Marty. Since then, hundreds of papers have been published on this subject. Offers the first book devoted to the semihypergroup theory Presents an introduction to recent progress in the theory of semihypergroups Covers most of the mathematical ideas and techniques required in the study of semihypergroups Employs the notion of fundamental relations to connect semihypergroups to semigroups