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ON ALMOST PRIME SUBMODULES 被引量:2

ON ALMOST PRIME SUBMODULES
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摘要 In this article, we define almost prime submodules as a new generalization of prime and weakly prime submodules of unitary modules over a commutative ring with identity. We study some basic properties of almost prime submodules and give some characterizations of them, especially for (finitely generated faithful) multiplication modules. In this article, we define almost prime submodules as a new generalization of prime and weakly prime submodules of unitary modules over a commutative ring with identity. We study some basic properties of almost prime submodules and give some characterizations of them, especially for (finitely generated faithful) multiplication modules.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2012年第2期645-651,共7页 数学物理学报(B辑英文版)
关键词 Prime submodules weakly prime submodules almost prime submodules multiplication modules Prime submodules weakly prime submodules almost prime submodules multiplication modules
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