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Generalized-hollow lifting modules | ||
| Iraqi Journal of Science | ||
| Article 1, Volume 57, Issue 3, 2016, Pages 2089-2093 | ||
| Author | ||
| Wasan Khalid Hasan | ||
| 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(M/K). A module M is called generalized hollow-lifting module, if every submodule N of M with M/N is a 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 module | ||
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