Geodesic
Prime and primary submodules of certain modules
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 641-648

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

In this paper we characterize all prime and primary submodules of the free $R$-module $R^{n}$ for a principal ideal domain $R$ and find the minimal primary decomposition of any submodule of $R^{n}$. In the case $n=2$, we also determine the height of prime submodules.
Classification : 13C13, 13C99
Keywords: prime submodules; primary submodules; primary decomposition 
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     title = {Prime and primary submodules of certain modules},
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Amini, A.; Amini, B.; Sharif, H. Prime and primary submodules of certain modules. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 641-648. http://geodesic.mathdoc.fr/item/CMJ_2006__56_2_a27/