Some properties of cofinitely weak essential supplemented modules
نویسندگان
چکیده
منابع مشابه
On H-cofinitely supplemented modules
A module $M$ is called $emph{H}$-cofinitely supplemented if for every cofinite submodule $E$ (i.e. $M/E$ is finitely generated) of $M$ there exists a direct summand $D$ of $M$ such that $M = E + X$ holds if and only if $M = D + X$, for every submodule $X$ of $M$. In this paper we study factors, direct summands and direct sums of $emph{H}$-cofinitely supplemented modules. Let $M$ be an $emph{H}...
متن کاملA generalization of $oplus$-cofinitely supplemented modules
We say that a module $M$ is a emph{cms-module} if, for every cofinite submodule $N$ of $M$, there exist submodules $K$ and $K^{'}$ of $M$ such that $K$ is a supplement of $N$, and $K$, $K^{'}$ are mutual supplements in $M$. In this article, the various properties of cms-modules are given as a generalization of $oplus$-cofinitely supplemented modules. In particular, we prove tha...
متن کاملon h-cofinitely supplemented modules
a module $m$ is called $emph{h}$-cofinitely supplemented if for every cofinite submodule $e$ (i.e. $m/e$ is finitely generated) of $m$ there exists a direct summand $d$ of $m$ such that $m = e + x$ holds if and only if $m = d + x$, for every submodule $x$ of $m$. in this paper we study factors, direct summands and direct sums of $emph{h}$-cofinitely supplemented modules. let $m$ be an $emph{h}$...
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It is proven that a ring R is δ-semiperfect if and only if every right R-module is (amply) cofinitely δ-supplemented. Mathematics Subject Classification: 16L30, 16E50
متن کاملa generalization of $oplus$-cofinitely supplemented modules
we say that a module $m$ is a emph{cms-module} if, for every cofinite submodule $n$ of $m$, there exist submodules $k$ and $k^{'}$ of $m$ such that $k$ is a supplement of $n$, and $k$, $k^{'}$ are mutual supplements in $m$. in this article, the various properties of cms-modules are given as a generalization of $oplus$-cofinitely supplemented modules. in particular, we prove tha...
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ژورنال
عنوان ژورنال: Miskolc Mathematical Notes
سال: 2021
ISSN: ['1586-8850', '1787-2405', '1787-2413']
DOI: https://doi.org/10.18514/mmn.2021.3436