Small submodules with respect to an arbitrary submodule
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Abstract:
Let $R$ be an arbitrary ring and $T$ be a submodule of an $R$-module $M$. A submodule $N$ of $M$ is called $T$-small in $M$ provided for each submodule $X$ of $M$, $Tsubseteq X+N$ implies that $Tsubseteq X$. We study this mentioned notion which is a generalization of the small submodules and we obtain some related results.
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Journal title
volume 3 issue 2
pages 43- 51
publication date 2015-12-01
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