Prime Fuzzy Submodules and Strongly Prime Fuzzy Submodules Over Near-ring

Abstract

The main aim of this paper is to extend and study the notions of (ordinary ) prime submodules into prime fuzzy submodules over near-ring .This lead us to introduce and study other properties of fuzzy submodules of near-ring and fuzzy homomorphism about it .Also , we study the notions of (ordinary ) strongly prime submodules into strongly prime fuzzy submodules over near-ring .This lead us to introduce and study other properties of fuzzy submodules of near-ring and fuzzy homomorphism about it .Moreover , we study the relationships of prime fuzzy submodules of near-ring and strongly prime fuzzy submodules of near-ring .