Springer Monographs in Mathematics

Function Algebras on Finite Sets

Basic Course on Many-Valued Logic and Clone Theory

Authors: Lau, Dietlinde

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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)


Table of contents (28 chapters)

Table of contents (28 chapters)
  • Introduction

    Pages 1-16

  • Preliminaries

    Pages 17-19

  • Basic Concepts of Universal Algebra

    Pages 25-33

  • Lattices

    Pages 35-44

  • Hull Systems and Closure Operators

    Pages 45-49

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-3-540-36023-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover $159.99
price for USA in USD
Softcover $149.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Function Algebras on Finite Sets
Book Subtitle
Basic Course on Many-Valued Logic and Clone Theory
Authors
Series Title
Springer Monographs in Mathematics
Copyright
2006
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-36023-0
DOI
10.1007/3-540-36023-9
Hardcover ISBN
978-3-540-36022-3
Softcover ISBN
978-3-642-07155-3
Series ISSN
1439-7382
Edition Number
1
Number of Pages
XIV, 670
Topics