Semi-T-maximal sumodules

Inaam M. A.  Hadi; Alaa A. Elewi

doi:10.24996/ijs.2019.60.12.23

Authors

Inaam M. A. Hadi Department of Mathematics, College of Education for pure Science (Ibn-Al-haithum), University of Baghdad, Baghdad, Iraq
Alaa A. Elewi Department of Mathematics, Collage of Since, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2019.60.12.23

Keywords:

T-maximal submodule, Semi maximal, T-Radical, T-cosemisimple

Abstract

Let be a commutative ring with identity and be an -module. In this work, we present the concept of semi--maximal sumodule as a generalization of -maximal submodule.

We present that a submodule of an -module is a semi--maximal (sortly --max) submodule if is a semisimple -module (where is a submodule of ). We investegate some properties of these kinds of modules.