A Note on Pure Submodule Relative to Submodule

Muna Jasim Mohammed Ali; Uhood S Al-Hassani; Zahraa A Mohammed

A Note on Pure Submodule Relative to Submodule

Authors

Muna Jasim Mohammed Ali Department of Mathematics, college of Science for Women, University of Baghdad, Baghdad-Iraq.
Uhood S Al-Hassani Department of Computer Science, college of Science, University of Baghdad, Baghdad-Iraq.
Zahraa A Mohammed Department of Astronomy, College of Science, Mustansiriya University, Baghdad-Iraq

Keywords:

pure submodule, T-pure submodule, T-pure Baer injective module

Abstract

In this paper we used the concept of a pure submodule relative to submodule T in two concepts, pure relative to submodule T Baer injective modules and module with pure relative to submodule T intersection property. Some properties and some characterization of this notions are established.