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Ordered Structures and Semirings

In: A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences

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  • Kazimierz Głazek

    (University of Zielona Góra, Institute of Mathematics)

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.

Suggested Citation

  • Kazimierz Głazek, 2002. "Ordered Structures and Semirings," Springer Books, in: A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences, chapter 4, pages 43-66, Springer.
    • Handle: RePEc:spr:sprchp:978-94-015-9964-1_5
    DOI: 10.1007/978-94-015-9964-1_5
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