Geodesic
Projective modules and prime submodules
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 601-611
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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.
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.
Classification : 13A10, 13A99, 13C10, 13C13
Keywords: prime submodule; primary submodule; ${\scr S}$-closed subsets; the radical formula 
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Alkan, Mustafa; Tiraş, Yücel. Projective modules and prime submodules. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 601-611. http://geodesic.mathdoc.fr/item/CMJ_2006_56_2_a24/

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