Notes on generalized prime and coprime modules. II.
Josef Jirásko (1981)
Commentationes Mathematicae Universitatis Carolinae
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Displaying similar documents to “Notes on generalized prime and coprime modules. I.”
Notes on generalized prime and coprime modules. II.
Prime and coprime modules
L. Bican, P. Jambor, Tomáš Kepka, P. Němec (1980)
Fundamenta Mathematicae
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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.