Minimal Ideals and Minimal Idempotents in Some Compact Semigroups

Abstract In this paper we present an important new results for study of fuzzy semigroups (both algebric and topological), in particular, fuzzy compact right topological semigroups. Principal result are that every fuzzy compact Hausdorff right topological semigroup S˜ contains at least one minimal idempotent [theorem 4.1] and every fuzzy left (resp. fuzzy right) ideal contains a fuzzy minimal left (resp. right) ideal [corollary 4.2]. Mathematical Society Classification: 2010 MSC.18340