Finite Semigroups And Universal Algebra

Finite Semigroups And Universal Algebra
Author :
Publisher : World Scientific
Total Pages : 532
Release :
ISBN-10 : 9789814501569
ISBN-13 : 9814501565
Rating : 4/5 (69 Downloads)

Book Synopsis Finite Semigroups And Universal Algebra by : Jorge Almeida

Download or read book Finite Semigroups And Universal Algebra written by Jorge Almeida and published by World Scientific. This book was released on 1995-01-27 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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