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Article Title

On ⏀-Prime Submodules

Document Type

Article

Abstract

In this paper, we study some properties of φ-prime submodules and we give another charactrization for it. For given submodules N and K of a module M with K ⊆ N, we prove that N is φ-prime submodule if and only if N/K is φ_K-prime submodule. Finally, we show that any finite sum of φ-prime submodules is φ-prime.

Keywords

Prime ideal, Prime submodule, ⏀-prime submodule

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