Displaying similar documents to “The dual notion of prime submodules”

Generalized lifting modules.

Wang, Yongduo, Ding, Nanqing (2006)

International Journal of Mathematics and Mathematical Sciences

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Projective modules and prime submodules

Mustafa Alkan, Yücel Tiraş (2006)

Czechoslovak Mathematical Journal

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In this paper, we use Zorn’s Lemma, multiplicatively closed subsets and saturated closed subsets for the following two topics: (i) The existence of prime submodules in some cases, (ii) The proof that submodules with a certain property satisfy the radical formula. We also give a partial characterization of a submodule of a projective module which satisfies the prime property.

Weak multiplication modules

Abdelmalek Azizi (2003)

Czechoslovak Mathematical Journal

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In this paper we characterize weak multiplication modules.