Abstract
Let R be a ring. Given two positive integers m and n, an R module V is said to be (m,n)-presented, if there is an exact sequence of R-modules 0→K→R^m →V→0 with K is n-generated. A submodule N of a right R-module M is said to be (m,n)-pure in M, if for every (m,n)-Presented left R-module V the canonical map NꚚ_RV→MꚚ_RV is a monomorphism. An R -module M has the (m,n)-pure intersection property if the intersection of any two (m,n)-pure submodules is again (m,n)-pure. In this paper we give some characterizations, theorems and properties of modules with the (m,n)-pure intersection property.
Article Type
Article
How to Cite this Article
Ali, M. J. Mohammed and Ibrahiem, T. A.
(2009)
"A note on an R–module with ( m, n)-pure intersection property,"
Baghdad Science Journal: Vol. 6:
Iss.
3, Article 22.
DOI: https://doi.org/10.21123/bsj.2009.6.3.596-602
