Geodesic
On 2-irreducible submodules of a module
Novi Sad Journal of Mathematics, Tome 50 (2020) no. 2.

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Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. A proper submodule $N$ of $M$ is said to be \textit{2-irreducible submodule} if whenever $N=H_1\cap H_2\cap H_3$ for submodules $H_1$, $H_2$ and $H_3$ of $M$, then either $N=H_1 \cap H_2$ or $N=H_2\cap H_3$ or $N=H_1\cap H_3$. In this paper, we investigated the concept of 2-irreducible submodules of $M$ and obtain some properties of this class of modules.
Publié le :
DOI : 10.30755/NSJOM.10391
Classification : 13C13, 13C99
Keywords: 2-irreducible ideal, irreducible submodule, 2-irreducible submodule 
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     author = {Faranak  Farshadifar},
     title = {On 2-irreducible submodules of a module},
     journal = {Novi Sad Journal of Mathematics},
     pages = {143 - 147},
     publisher = {mathdoc},
     volume = {50},
     number = {2},
     year = {2020},
     doi = {10.30755/NSJOM.10391},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.10391/}
}
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Faranak  Farshadifar. On 2-irreducible submodules of a module. Novi Sad Journal of Mathematics, Tome 50 (2020) no. 2. doi : 10.30755/NSJOM.10391. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.10391/

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