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Finite semigroups and universal algebra
Autor: Almeida Jorge
Rok: c1994
ISBN: 9789810218959
OKCZID: 110054420
Citace (dle ČSN ISO 690):
ALMEIDA, Jorge. Finite semigroups and universal algebra. Singapore: World Scientific, c1994. xvi, 511 s. Series in algebra, v. 3.
Anotace
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.