Geodesic
Projective modules and prime submodules
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 601-611.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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/