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http://dx.doi.org/10.4134/BKMS.2014.51.3.613

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

Wang, Yongduo (Department of Applied Mathematics Lanzhou University of Technology)
Wu, Dejun (Department of Applied Mathematics Lanzhou University of Technology)
Publication Information
Bulletin of the Korean Mathematical Society / v.51, no.3, 2014 , pp. 613-619 More about this Journal
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;
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