Function Algebras on Finite Sets
Basic Course on Many-Valued Logic and Clone Theory
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Beschreibung
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.
Autor*in
Dietlinde Lau
Themen in »Function Algebras on Finite Sets«
Algebra Clone Theory Completeness Criterion Function Algebra Relation Algebra Universal Algebra homomorphism
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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)
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