small submodules with respect to an arbitrary submodule
نویسندگان
چکیده
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.
منابع مشابه
Small submodules with respect to an arbitrary submodule
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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عنوان ژورنال:
journal of algebra and related topicsناشر: university of guilan
ISSN 2345-3931
دوره 3
شماره 2 2015
کلمات کلیدی
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