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Table of contents (28 chapters)
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Front Matter
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Introduction
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Preliminaries
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Function Algebras
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Front Matter
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About this book
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.
This book is an insdispensible source on function algebras for graduate students and researchers in mathematical logic and theoretical computer science.
Reviews
From the reviews:
"‘The aim of the present book is to introduce the reader to the theory of function algebras and to give the latest state of research for some selected fields.’ … This book will be useful for anyone interested in universal algebra and algebraic foundations of many-valued logics." (Béla Csákány, Acta Scientiarum Mathematicarum, Vol. 74, 2008)
Authors and Affiliations
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Institute for Mathematics, University of Rostock, Rostock, Germany
Dietlinde Lau
Bibliographic Information
Book Title: Function Algebras on Finite Sets
Book Subtitle: Basic Course on Many-Valued Logic and Clone Theory
Authors: Dietlinde Lau
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/3-540-36023-9
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2006
Hardcover ISBN: 978-3-540-36022-3Published: 03 August 2006
Softcover ISBN: 978-3-642-07155-3Published: 22 November 2010
eBook ISBN: 978-3-540-36023-0Published: 23 November 2006
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XIV, 670
Topics: Algebra, Mathematical Logic and Foundations, Arithmetic and Logic Structures