Semirings: Algebraic Theory and Applications in Computer Science

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World Scientific, 1998 - Mathematics - 361 pages
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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.
 

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Contents

Basic Concepts
1
Extensions of Semirings
90
Partially Ordered Semirings
144
Semirings with Infinite Sums
193
Semialgebras Semigroup Semirings and
265
Solutions of Selected Exercises
316
References
336
Symbols
351
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