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
Pages
12
From page
229
To page
240
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
Serial Year
2014
Journal title
Ibn Alhaitham Journal For Pure and Applied Science
Record number
2602415
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