When an $\mathscr{S}$-closed submodule is a direct summand
Bull. Korean Math. Soc. 2014 Vol. 51, No. 3, 613-619
https://doi.org/10.4134/BKMS.2014.51.3.613
Published online May 31, 2014
Yongduo Wang and Dejun Wu
Lanzhou University of Technology, Lanzhou University of Technology
Abstract : It is well known that a direct sum of CLS-modules is not, in general, a CLS-module. It is proved that if $M=M_1\oplus M_2$, where $M_1$ and $M_2$ are CLS-modules such that $M_1$ and $M_2$ are relatively ojective (or $M_1$ is $M_2$-ejective), then $M$ is a CLS-module and some known results are generalized.
Keywords : CLS-module, ejective module, ojective module
MSC numbers : 16D10
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