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Function Algebras on Finite Sets: Basic Course on Many-Valued Logic and Clone Theory

Function Algebras on Finite Sets: Basic Course on Many-Valued Logic and Clone Theory

Paperback

Series: Springer Monographs in Mathematics

FictionAlgebraGeneral Computers

ISBN10: 3642071554
ISBN13: 9783642071553
Publisher: Springer
Published: Nov 22 2010
Pages: 670
Weight: 2.08
Height: 1.37 Width: 6.14 Depth: 9.21
Language: English

Functions which are defined on finite sets occur in almost all fields of mathematics. For more than 80 years algebras whose universes are such functions (so-called function algebras), have been intensively studied.

This book gives a broad introduction to the theory of function algebras and leads to the cutting edge of research. To familiarize the reader from the very beginning on with the algebraic side of function algebras the more general concepts of the Universal Algebra is given in the first part of the book. The second part on fuction algebras covers the following topics: Galois-connection between function algebras and relation algebras, completeness criterions, clone theory.

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