Description

Book Synopsis
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.

Table of Contents
Basic concepts; extensions of semirings; partially-ordered semirings; semirings with infinite sums; semialgebras; semigroup semirings and semirings of formal power series.

Semirings: Algebraic Theory And Applications In

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A Hardback by John M Howie, Hanns Joachim Weinert, Udo Hebisch

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    View other formats and editions of Semirings: Algebraic Theory And Applications In by John M Howie

    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 02/11/1998
    ISBN13: 9789810236014, 978-9810236014
    ISBN10: 9810236018
    Also in:
    Computing and Information Technology Algebra Applied mathematics

    Description

    Book Synopsis
    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.

    Table of Contents
    Basic concepts; extensions of semirings; partially-ordered semirings; semirings with infinite sums; semialgebras; semigroup semirings and semirings of formal power series.

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