On Semiannahilator Supplement Submodules

Layla H.  Helal; Sahira M.  Yaseen

doi:10.24996/ijs.2020.SI.1.3

Authors

Layla H. Helal Department; of Civil Eng. College; of Eng. University; of Baghdad, Baghdad, Iraq
Sahira M. Yaseen Departmentof Math.., College; of Science, University; of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2020.SI.1.3

Keywords:

sa- Small Submodule, sa-Hollow And sa -Lifting Modules, sa -supplemented Modules

Abstract

Let R be associative; ring; with an identity and let D be unitary left R- module; . In this work we present semiannihilator; supplement submodule as a generalization of R-a- supplement submodule, Let U and V be submodules of an R-module D if D=U+V and whenever Yâ‰¤ V and D=U+Y, then annYâ‰ªR;. We also introduce the the concept of semiannihilator -supplemented ;modules and semiannihilator weak; supplemented modules, and we give some basic properties of this conseptes.