• NOTE ON FUZZY WEAKLY COMPLETELY PRIME - IDEALS IN TERNARY SEMIGROUPS

U. NAGI REDDY*, Dr. G. SHOBHALATHA

Abstract


Ideal theory in ternary semigroups is introduced by F.M. Sioson. Samit Kumar Majumder introduced and studied on fuzzy completely prime ideals in gamma semigroups. In this paper we proved some properties of prime -ideals and fuzzy weakly completely prime -ideals in ternary semigroups. It is prove that If  be a non-empty fuzzy subset of a ternary semigroup , then  is a fuzzy ternary sub semigroup of if and only if is a fuzzy weakly completely prime - ideal in   .


Keywords


Ternary semigroup, fuzzy set, Fuzzy left (lateral, right) ideals, Fuzzy weakly completely prime ideals.

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