2014
DOI: 10.21123/bsj.11.1.178-185
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On Strongly F – Regular Modules and Strongly Pure Intersection Property

Abstract: A submoduleA of amodule M is said to be strongly pure , if for each finite subset {a i } in A , (equivalently, for each a A) there exists ahomomorphism f : M A such that f(a i ) = a i , i(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 .

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