á´ª-Prime Submodules
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Abstract
Let R be a commutative ring with identity and M be an unitary R-module. Let ï¤(M) be the set of all submodules of M, and ï¹: ï¤(M)  ï¤(M)  {ï¦} be a function. We say that a proper submodule P of M is ï¹-prime if for each r  R and x  M, if rx  P, then either x  P + ï¹(P) or r M ïƒ P + ï¹(P) . Some of the properties of this concept will be investigated. Some characterizations of ï¹-prime submodules will be given, and we show that under some assumptions prime submodules and ï¹-prime submodules are coincide.
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How to Cite
á´ª-Prime Submodules. (2017). Ibn AL-Haitham Journal For Pure and Applied Sciences, 29(2), 282-291. https://jih.uobaghdad.edu.iq/index.php/j/article/view/117
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Mathematics
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How to Cite
á´ª-Prime Submodules. (2017). Ibn AL-Haitham Journal For Pure and Applied Sciences, 29(2), 282-291. https://jih.uobaghdad.edu.iq/index.php/j/article/view/117