Power Algebras over Semirings: With Applications in Mathematics and Computer Science / Edition 1

Power Algebras over Semirings: With Applications in Mathematics and Computer Science / Edition 1

by Jonathan S. Golan, J. S. Golan
     
 

ISBN-10: 0792358341

ISBN-13: 9780792358343

Pub. Date: 07/31/1999

Publisher: Springer Netherlands

This research monograph investigates sets of the form RA where R is a semiring, and A is a set with a certain structure. Such constructs gen eralise fuzzy and toll algebraic structures, which in recent years hav e shown themselves of importance in engineering and computer science, as well as in new mathematical disciplines like idempotent analysis. T his volume

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Overview

This research monograph investigates sets of the form RA where R is a semiring, and A is a set with a certain structure. Such constructs gen eralise fuzzy and toll algebraic structures, which in recent years hav e shown themselves of importance in engineering and computer science, as well as in new mathematical disciplines like idempotent analysis. T his volume puts much of the ad hoc work of the past decade on a firm m athematical foundation by creating a unified approach which has import ant implications in such diverse areas as formal language theory, disc rete dynamical systems, models of optimal control, and many others.

Product Details

ISBN-13:
9780792358343
Publisher:
Springer Netherlands
Publication date:
07/31/1999
Series:
Mathematics and Its Applications (closed) Series, #488
Edition description:
1999
Pages:
206
Product dimensions:
0.00(w) x 0.00(h) x 0.24(d)

Related Subjects

Table of Contents

Preface. Some (hopefully) motivating examples. 0. Background material. 1. Powers of a semiring. 2. Relations with values in a semiring. 3. Change of base semirings. 4. Convolutions. 5. Semiring-valued subsemigroups and submonoids. 6. Semiring-valued groups. 7. Semiring-valued submodules and subspaces. 8. Semiring-ideals in semirings and rings. References. Index.

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