On Semiannahilator Supplement Submodules

  • 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
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 Y≤ V and D=U+Y, then annY≪R;. We also introduce the the concept of semiannihilator -supplemented ;modules and semiannihilator weak; supplemented modules, and we give some basic properties of this conseptes.

Published
2020-05-17
How to Cite
HelalL. H., & YaseenS. M. (2020). On Semiannahilator Supplement Submodules. Iraqi Journal of Science, 16-20. https://doi.org/10.24996/ijs.2020.SI.1.3