A πregular semigroup S is called strictly πregular
if the set of regular elements of S is an ideal of S and is a completely regular subsemigroup of S. We use the notion of a fuzzy congruence relation on semigroups to study some properties of fuzzy congruences on πregular semigroups. Some properties and characterizations of fuzzy congruences on strictly πregular semigroups are given
and the group congruence on such semigroups is obtained. Finally
sufficient and necessary conditions for a fuzzy congruence on a strictly πregular semigroup to be a fuzzy group congruence are proved.
关键词
严格π-正则半群fuzzy同余fuzzy群同余
Keywords
strictly πregular semigroupfuzzy congruencefuzzy group congruence