Notes on generalized prime and coprime modules. I.

Josef Jirásko

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Notes on generalized prime and coprime modules. II.

Josef Jirásko (1981)

Commentationes Mathematicae Universitatis Carolinae

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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.