Algebra

By: Jorge Almeida, John M. Howie (Editor)

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Hardcover | 1 January 1995

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Hardcover
532 Pages

Dimensions(cm)
22.86 x 16.51 x 3.18

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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 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.

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Non-Fiction Mathematics Algebra Groups & Group Theory Geometry Topology Booktopia Publisher Services World Scientific Publishing

Preface
Introduction	p. 1
Finite Universal Algebra	p. 9
Elements of Universal Algebra	p. 11
Order and Topology	p. 33
Finite Algebras	p. 53
Decidability	p. 105
Finite Semigroups and Monoids	p. 121
Preliminaries	p. 123
Permutativity	p. 149
Operators Relating Semigroups and Monoids	p. 201
Semigroups Whose Regular D-Classes are Subsemigroups	p. 215
The Join	p. 241
The Semidirect Product	p. 265
The Power	p. 357
Factorization of Implicit Operations	p. 429
Open Problems	p. 441
Bibliographic Notes	p. 447
Bibliography	p. 459
Author index	p. 495
Index	p. 501
Notation	p. 507
Table of Contents provided by Blackwell. All Rights Reserved.

Algebra

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Hardcover

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