WEAKLY PRIME SUBMODULES AND PRIME SUBMODULES
Glasgow mathematical journal, Tome 48 (2006) no. 2, pp. 343-346
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A proper submodule $N$ of an $R$-module $M$ is called a weakly prime submodule, if for each submodule $K$ of $M$ and elements $a, b$ of $R$, $abK \subseteq N$, implies that $aK\subseteq N$ or $bK\subseteq N$. In this paper we will study weakly prime submodules and we shall compare weakly prime submodules with prime submodules.
AZIZI, A. WEAKLY PRIME SUBMODULES AND PRIME SUBMODULES. Glasgow mathematical journal, Tome 48 (2006) no. 2, pp. 343-346. doi: 10.1017/S0017089506003119
@article{10_1017_S0017089506003119,
author = {AZIZI, A.},
title = {WEAKLY {PRIME} {SUBMODULES} {AND} {PRIME} {SUBMODULES}},
journal = {Glasgow mathematical journal},
pages = {343--346},
year = {2006},
volume = {48},
number = {2},
doi = {10.1017/S0017089506003119},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089506003119/}
}
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