Small Monoform Modules | ||
| Ibn Al-Haitham Journal For Pure And Applied Science | ||
| Article 1, Volume 27, Issue 2, August 2014, Pages 229-240 | ||
| Authors | ||
| ; ; Hassan K. Marhun | ||
| Abstract | ||
| Let R be a commutative ring with unity, let M be a left R-module. In this paper we introduce the concept small monoform module as a generalization of monoform module. A module M is called small monoform if for each non zero submodule N of M and for each f Hom(N,M), f 0 implies ker f is small submodule in N. We give the fundamental properties of small monoform modules. Also we present some relationships between small monoform modules and some related modules. | ||
| Keywords | ||
| Monoform module; small monoform module; small submodule; prime module; small prime module; uniform module; nonsingular module; quasi; Dedekind module | ||
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