
Finite Semigroups And Universal Algebra
Jorge Almeida(Author)
World Scientific Publishing Co Pte Ltd
Will be published approx. on 1. January 1995
Book
Hardback
532 pages
978-981-02-1895-9 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Professional and scholarly
Product notice
sewn/stitched
Paper over boards
With dust jacket
Dimensions
Height: 223 mm
Width: 163 mm
Thickness: 35 mm
Weight
845 gr
ISBN-13
978-981-02-1895-9 (9789810218959)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Content
Part 1 Finite universal algebra: elements of universal algebra; order and topology; finite algebras; decidability. Part 2 Finite semigroups and monoids: permutativity; operators relating semigroups and monoids; semigroups whose regular D-classes are subsemigroups; the join; the semidirect product; the power; factorization of implicit operations. Part 3 Open problems.