Semiring theory stands with a foot in each of two mathematical
domains. The first being abstract algebra and the other the fields
of applied mathematics such as optimization theory, the theory of
discrete-event dynamical systems, automata theory, and formal
language theory, as well as from the allied areas of theoretical
computer science and theoretical physics. Most important
applications of semiring theory in these areas turn out to revolve
around the problem of finding the equalizer of a pair of affine
maps between two semimodules. In this volume, we chart the state of
the art on solving this problem, and present many specific cases of
applications.
This book is essentially the third part of a trilogy, along with
Semirings and their Applications, and Power Algebras over
Semirings, both written by the same author and published by Kluwer
Academic Publishers in 1999. While each book can be read
independently of the others, to get the full force of the theory
and applications one should have access to all three.
This work will be of interest to academic and industrial
researchers and graduate students. The intent of the book is to
bring the applications to the attention of the abstract
mathematicians and to make the abstract mathematics available to
those who are using these tools in an ad-hoc manner without
realizing the full force of the theory.
General
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