Finite Semigroups and Universal Algebra

Finite Semigroups and Universal Algebra

by Jorge Almeida
     
 

ISBN-10: 9810218958

ISBN-13: 9789810218959

Pub. Date: 01/28/1995

Publisher: World Scientific Publishing Company, Incorporated

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

Overview

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.

Product Details

ISBN-13:
9789810218959
Publisher:
World Scientific Publishing Company, Incorporated
Publication date:
01/28/1995
Series:
Series in Algebra
Pages:
532
Product dimensions:
6.20(w) x 8.60(h) x 1.30(d)

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