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Series in Algebra - Vol. 5

SEMIRINGS
Algebraic Theory and Applications in Computer Science

by U Hebisch (TU Bergakademie Freiberg) & H J Weinert (TU Clausthal)

This book provides an introduction to the algebraic theory of semirings and, in this context, to basic algebraic concepts as e.g. semigroups, lattices and rings. It includes an algebraic theory of infinite sums as well as a detailed treatment of several applications in theoretical computer science. Complete proofs, various examples and exercises (some of them with solutions) make the book suitable for self-study. On the other hand, a more experienced reader who looks for information about the most common concepts and results on semirings will find cross-references throughout the book, a comprehensive bibliography and various hints to it.


Contents:

  • Basic Concepts
  • Extensions of Semirings
  • Partially Ordered Semirings
  • Semirings with Infinite Sums
  • Semialgebras, Semigroup Semirings and Semirings of Formal Power Series


Readership: Pure mathematicians and computer scientists.

372pp Pub. date: Nov 1998
ISBN 981-02-3601-8 US$64 / £40


Copyright © 2008 World Scientific Publishing Co. All rights reserved.
Updated on 5 September 2008