Abstract
In this paper we investigate modules with the property $C^{*}$ : namely, $M$ has $C^{*}$ if every submodule $N$ of $M$ contains a direct summand $K$ of $M$ such that $N/K$ is cosingular. We prove that every right $R$-module $M$ satisfies $C^{*}$ if and only if every right $R$-module is the direct sum of an injective module and a cosingular module.
Citation
Y. Talebi. M. J. Nematollahi. "MODULES WITH C∗-CONDITION." Taiwanese J. Math. 13 (5) 1451 - 1456, 2009. https://doi.org/10.11650/twjm/1500405552
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