مشخصات پژوهش

عنوان	ϕ-prime Subsemimodules of Semimodules over Commutative Semirings
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	prime subsemimodule, weakly prime subsemimodule, ϕ-prime subsemimodule.
چکیده	Let R be a commutative semiring with identity and M be a unitary R- semimodule. Let ϕ : S(M) ! S(M) [ f∅g be a function, where S(M) is the set of all subsemimodules of M. A proper subsemimodule N of M is called ϕ-prime subsemimodule, if r 2 R and x 2 M with rx 2 N nϕ(N) implies that r 2 (N :R M) or x 2 N. So if we take ϕ(N) = ∅ (resp., ϕ(N) = f0g), a ϕ-prime subsemimodule is prime (resp., weakly prime). In this article we study the properties of several generalizations of prime subsemimodules.
پژوهشگران	فاطمه فتاحی کیاسری (نفر اول)، غلامرضا صفاکیش همدانی (نفر دوم)