WHEN AN $\small{\mathfrak{S}}$-CLOSED SUBMODULE IS A DIRECT SUMMAND

Title & Authors
WHEN AN $\small{\mathfrak{S}}$-CLOSED SUBMODULE IS A DIRECT SUMMAND
Wang, Yongduo; Wu, Dejun;

Abstract
It is well known that a direct sum of CLS-modules is not, in general, a CLS-module. It is proved that if $\small{M=M_1{\oplus}M_2}$, where $\small{M_1}$ and $\small{M_2}$ are CLS-modules such that $\small{M_1}$ and $\small{M_2}$ are relatively ojective (or $\small{M_1}$ is $\small{M_2}$-ejective), then M is a CLS-module and some known results are generalized.
Keywords
CLS-module;ejective module;ojective module;
Language
English
Cited by
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