Sets and Relations with Values in a Semiring

Jonathan S. Golan
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Jonathan S. Golan: University of Haifa

Chapter 2 in Semirings and their Applications, 1999, pp 19-25 from Springer

Abstract: Abstract The direct product R = x i∈ R i of a family of semirings {R i | i ∈ Ω} has the structure of a semiring with the operations of addition and multiplication defined componentwise. This semiring is additively- [resp. multiplicatively-] idempotent [resp. zerosumfree, simple] if each of the R i is additively- [resp. multiplicatively-] idempotent [resp. zerosumfree, simple]. It is not entire if Ω has order greater than 1.

Keywords: Equivalence Relation; Fuzzy Subset; Fuzzy Graph; Multiplicative Identity; Multiplicity Function (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1007/978-94-015-9333-5_2

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