Ordered Structures and Semirings

Kazimierz Głazek
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Kazimierz Głazek: University of Zielona Góra, Institute of Mathematics

Chapter 4 in A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences, 2002, pp 43-66 from Springer

Abstract: Abstract Ordered semirings are very important tools for many applications, for example, discrete event systems, optimization problems, shortest path problems, idempotent analysis, the theory of quantales, etc. For some references, see Sections 3.2, 5.2, 5.3. and 4.2. Semirings often appear as reducts of some ordered algebraic structures as lattice-ordered groups, semigroups and rings (see Sections 4.1, 4.2 and 4.3 below), of Boolean algebras with operators and relation algebras (see Section 4.4), etc.

Keywords: Relation Algebra; Linear Logic; Algebraic Logic; Boolean Ring; Ascend Chain Condition (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1007/978-94-015-9964-1_5

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