CLO-Semirings

Jonathan S. Golan
Additional contact information
Jonathan S. Golan: University of Haifa

Chapter 24 in Semirings and their Applications, 1999, pp 267-283 from Springer

Abstract: Abstract A lattice-ordered semiring R is a, complete-lattice-ordered semiring (CLO-semiring) if and only if (R, ∨, ∧) is a complete lattice. A CLO-semiring is a quantalic lattice-ordered semiring (QLO-semiring) if and only if multiplication distributes over arbitrary joins from either side; it is a frame-ordered semiring (FO-semiring) if and only if it is a QLO-semiring and the underlying complete lattice is a frame. As an immediate extension of Proposition 21.12(1), we see that if a a is an element of a CLO-semiring R then ∨(Ra) = a = ∨(aR).

Keywords: Nonempty Subset; Maximal Element; Complete Lattice; Finite Subset; Prime Element (search for similar items in EconPapers)
Date: 1999
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-015-9333-5_24

Ordering information: This item can be ordered from
http://www.springer.com/9789401593335

DOI: 10.1007/978-94-015-9333-5_24

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().