A generalization of pure submodules
عنوان مقاله: A generalization of pure submodules
شناسه ملی مقاله: JR_JART-8-2_001
منتشر شده در در سال 1399
شناسه ملی مقاله: JR_JART-8-2_001
منتشر شده در در سال 1399
مشخصات نویسندگان مقاله:
F. Farshadifar - University of Farhangian, Tehran, Iran.
خلاصه مقاله:
F. Farshadifar - University of Farhangian, Tehran, Iran.
Let R be a commutative ring with identity, S a multiplicatively closed subset of R, and M be an R-module. The goal of this work is to introduce the notion of S-pure submodules of M as a generalization of pure submodules of M and prove a number of results concerning of this class of modules. We say that a submodule N of M is \emph {S-pure} if there exists an s \in S such that s(N \cap IM) \subseteq IN for every ideal I of R. Also, We say that M is \emph{fully S-pure} if every submodule of M is S-pure.
کلمات کلیدی: Pure submodule, S-pure submodule, fully S-pure module
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/2030121/