Fuzzy congruence relations on nd-groupoids
نویسندگان
چکیده
In this work we introduce the notion of fuzzy congruence relation on an ndgroupoid and study conditions on the nd-groupoid which guarantee a complete lattice structure on the set of fuzzy congruence relations. The study of these conditions allowed to construct a counterexample to the statement that the set of fuzzy congruences on a hypergroupoid is a complete lattice.
منابع مشابه
Congruence Relations on Hypergroupoids and Nd-groupoids
In this work we prove that the set of congruences on an nd-groupoid under suitable conditions is a complete lattice which is a sublattice of the lattice of equivalence relations on the nd-groupoid. The study of these conditions allowed to construct a counterexample to the statement that the set of (fuzzy) congruences on a hypergroupoid is a complete lattice.
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ورودعنوان ژورنال:
- Int. J. Comput. Math.
دوره 86 شماره
صفحات -
تاریخ انتشار 2009