Semi-T-maximal sumodules

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.

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Published

2019-12-29

Issue

Section

Mathematics

How to Cite

Semi-T-maximal sumodules. (2019). Iraqi Journal of Science, 60(12), 2725-2731. https://doi.org/10.24996/ijs.2019.60.12.23