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Some Results on Essentially Quasi-Dedekind Modules | ||
| Iraqi Journal of Science | ||
| Article 1, Volume 56, Issue 2, 2015, Pages 1130-1139 | ||
| Authors | ||
| Inaam Mohammed Ali; ; ar Younis Ghawi | ||
| Abstract | ||
| In this paper we give many connections between essentially quasi-Dedekind (quasi-Dedekind) modules and other modules such that Baer modules, retractable modules, essentially retractable modules, compressible modules and essentially compressible modules where an R-module M is called essentially quasi-Dedekind (resp. quasi-Dedekind) if, for all N ≤e M (resp. N ≤ M). Equivalently, a module M is essentially quasi-Dedekind (resp. quasi-Dedekind) if, for each , Kerf ≤ e M implies f = 0 (resp. implies ). | ||
| Keywords | ||
| Essentially quasi; Dedekind modules; Baer modules; retractable modules; compressible modules; monoform modules | ||
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