Archimedean equivalence on ordered semigroups
نویسندگان
چکیده
منابع مشابه
Chains of archimedean ordered semigroups by terms of fuzzy subsets
In this paper, the concept of semiprimary fuzzy ideals of an ordered semigroup S is introduced. Some characterizations for an ordered semigroup S to be a semilattice of archimedean (rarchimedean, t-archimedean) ordered subsemigroups are given by some binary relations on S and the fuzzy radical of fuzzy ideals (fuzzy right ideals, fuzzy bi-ideals) of S. Furthermore, some characterizations for an...
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There are two equivalent de nitions of a fuzzy right ideal, fuzzy left ideal, fuzzy bi-ideal or fuzzy quasi-ideal f of an ordered semigroup (or a semigroup) S in the bibliography. The rst one is based on the fuzzy subset f itself, the other on the multiplication of fuzzy sets and the greatest fuzzy subset of S. Investigations in the existing bibliography are based on the rst de nition. The pres...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1972
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1972.101091