On graded almost semiprime submodules
نویسنده
چکیده مقاله:
Let $G$ be a group with identity $e$. Let $R$ be a $G$-graded commutative ring with a non-zero identity and $M$ be a graded $R$-module. In this article, we introduce the concept of graded almost semiprime submodules. Also, we investigate some basic properties of graded almost semiprime and graded weakly semiprime submodules and give some characterizations of them.
منابع مشابه
on graded almost semiprime submodules
let $g$ be a group with identity $e$. let $r$ be a $g$-graded commutative ring with a non-zero identity and $m$ be a graded $r$-module. in this article, we introduce the concept of graded almost semiprime submodules. also, we investigate some basic properties of graded almost semiprime and graded weakly semiprime submodules and give some characterizations of them.
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متن کاملon graded classical prime and graded prime submodules
let $g$ be a group with identity $e.$ let $r$ be a $g$-graded commutative ring and $m$ a graded $r$-module. in this paper, we introduce several results concerning graded classical prime submodules. for example, we give a characterization of graded classical prime submodules. also, the relations between graded classical prime and graded prime submodules of $m$ are studied.
متن کاملon graded weakly classical prime submodules
let r be a g-graded ring and m be a g-graded r-module. in this article, we introduce the concept of graded weakly classical prime submodules and give some properties of such submodules.
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عنوان ژورنال
دوره 1 شماره 1
صفحات 41- 55
تاریخ انتشار 2013-11-01
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