Title of article :
Small Monoform Modules
Author/Authors :
hadi, inaam, m.a university of baghdad - college of education for pure science (ibn al-haitham) - department of mathematics, Iraq , marhun, hassan k. university of baghdad - college of education for pure science (ibn al-haitham) - department of mathematics, Iraq
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 :
quasi-Dedekind module , non singular module , uniform module , small prime module , prime module , small submodule , small monoform module , Monoform module
Journal title :
Ibn Alhaitham Journal For Pure and Applied Science
Journal title :
Ibn Alhaitham Journal For Pure and Applied Science
