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Function Algebras on Finite Sets

A Basic Course on Many-Valued Logic and Clone Theory

  • Dietlinde Lau

Part of the Springer Monographs in Mathematics book series (SMM)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Introduction

    1. Pages 1-16
  3. Preliminaries

    1. Pages 17-19
  4. Universal Algebra

  5. Function Algebras

  6. Back Matter
    Pages 639-670

About this book

Introduction

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.

Keywords

Algebra Clone Theory Completeness Criterion Function Algebra Relation Algebra Universal Algebra homomorphism

Authors and affiliations

  • Dietlinde Lau
    • 1
  1. 1.Institute for MathematicsUniversity of RostockRostockGermany

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-36023-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 2006
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-36022-3
  • Online ISBN 978-3-540-36023-0
  • Series Print ISSN 1439-7382
  • Buy this book on publisher's site