On Graded Weakly Classical Prime Submodules
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Abstract:
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 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 $n$ be a submodule of a module $m$ and a minimal primary decomposition of $n$ is known. a formula to compute baer's lower nilradical of $n$ is given. the relations between classical prime submodules and their nilradicals are investigated. some situations in which semiprime submodules can be written as finite intersection of classical prime submodule are stated.
full textMy Resources
Journal title
volume 12 issue None
pages 153- 161
publication date 2017-04
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