Closed Weak G-Supplemented Modules

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Tha'ar Younis Ghawi


   A module M  is called closed weak g-supplemented if for any closed submodule N of M, there is a submodule K of M such that    and   (i.e. K is a weak g-supplement of N in M). In this work many various properties of closed weak g-supplemented modules are investigated. We will prove a module M is closed weak g-supplemented if and only if    is closed weak g-supplemented for any closed submodule X of M. So, any direct summand of closed weak g-supplemented module is also closed weak g-supplemented. Every nonsingular homomorphic image of a closed weak g-supplemented module is closed weak g-supplemented. We define and study also modules, in which every cofinite closed submodule of it have weak g-supplements, namely, cofinitely closed weak g-supplemented.      


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How to Cite
T. Ghawi, “Closed Weak G-Supplemented Modules”, JUBPAS, vol. 26, no. 7, pp. 339 - 355, May 2018.