Title of article
ᴪ-Prime Submodules
Author/Authors
al-mothafar, nuhad s. university of baghdad - collage of science - department of mathematic, Iraq , al-khalik, adwia j. abdil . al-mustansiriya university. - college of science - dept. of mathematics, Iraq
Pages
10
From page
282
To page
291
Abstract
Let R be a commutative ring with identity and M be an unitary R-module. Let (M) be the set of all submodules of M, and ᴪ: (M) - (M) υ {ф} be a function. We say that a proper submodule P of M is £-prime if for each r £ R and x ᴪ M, if rx £ P, then either x £ P + ᴪ(P) or r M c P + ᴪ(P) . Some of the properties of this concept will be investigated. Some characterizations of ᴪ-prime submodules will be given, and we show that under some assumptions prime submodules and ᴪ-prime submodules are coincide.
Keywords
Prime submodule , weakly prime submodules , ∮-prime submodules
Journal title
Ibn Alhaitham Journal For Pure and Applied Science
Serial Year
2016
Journal title
Ibn Alhaitham Journal For Pure and Applied Science
Record number
2602632
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