Submodules of secondary modules.
Atani, Shahabaddin Ebrahimi (2002)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “The dual notion of prime submodules”
Submodules of secondary modules.
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Yassemi, S. (1998)
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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.