Small Monoform Modules
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 moduleMetrics