small submodules with respect to an arbitrary submodule

نویسندگان

r. beyranvand

f. moradi

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.

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عنوان ژورنال:
journal of algebra and related topics

ناشر: university of guilan

ISSN 2345-3931

دوره 3

شماره 2 2015

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