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Generalized-hollow 〖lifting〗_gmodules | ||
| Iraqi Journal of Science | ||
| Article 1, Volume 59, Issue 2, 2018, Pages 917-921 | ||
| Authors | ||
| Noor M. Mosa; Wasan Khalid | ||
| Abstract | ||
| Let R be any ring with identity, and let M be a unitary left R-module. A submodule K of M is called generalized coessential submodule of N in M , if ( N)/K⊆〖Rad〗_g (M/K) . A module M is called generalized hollow-〖lifting 〗_g module, if every submodule N of M with M/N is a G-hollow module, has a generalized coessential submodule of N in M that is a direct summand of M. In this paper, we study some properties of this type of modules | ||
| Keywords | ||
| generalized coessential submodule; generalized strong supplement submodule; generalized hollow; lifting | ||
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