Abstract
A submoduleA of amodule M is said to be strongly pure , if for each finite subset {ai} in A , (equivalently, for eacha ЄA) there exists ahomomorphism f : M→ A such that f(ai) = ai, Ɐi(f(a)=a).A module M is said to be strongly F–regular if each submodule of M is strongly pure .The main purpose of this paper is to develop the properties of strongly F–regular modules and study modules with the property that the intersection of any two strongly pure submodules is strongly pure .
Keywords
Strongly pure submodule, Strongly F–regular module, Idempotent submodule, Fully idempotent module .
Article Type
Article
How to Cite this Article
Bahrani, Bahar H. Al –
(2014)
"On Strongly F – Regular Modules and Strongly Pure Intersection Property,"
Baghdad Science Journal: Vol. 11:
Iss.
1, Article 22.
DOI: https://doi.org/10.21123/bsj.2014.11.1.178-185
