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Finite Semigroups and Universal Algebra
Hardcover
Series: Algebra, Book 3
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ISBN10: 9810218958
ISBN13: 9789810218959
Publisher: World Scientific Pub Co Inc
Published: Jan 1 1995
Pages: 532
Weight: 1.90
Height: 1.30 Width: 6.20 Depth: 8.60
Language: English
ISBN13: 9789810218959
Publisher: World Scientific Pub Co Inc
Published: Jan 1 1995
Pages: 532
Weight: 1.90
Height: 1.30 Width: 6.20 Depth: 8.60
Language: English
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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