on graded weakly classical prime submodules
نویسندگان
چکیده
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.
منابع مشابه
On 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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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.
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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.
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Let $R$ be a commutative ring with identity and $M$ be a unitary $R$-module. Suppose that $phi:S(M)rightarrow S(M)cup lbraceemptysetrbrace$ be a function where $S(M)$ is the set of all submodules of $M$. A proper submodule $N$ of $M$ is called an $(n-1, n)$-$phi$-classical prime submodule, if whenever $r_{1},ldots,r_{n-1}in R$ and $min M$ with $r_{1}ldots r_{n-1}min Nsetminusphi(N)$, then $r_{1...
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عنوان ژورنال:
iranian journal of mathematical sciences and informaticsجلد ۱۲، شماره ۱، صفحات ۱۵۳-۱۶۱
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