Some Generalizations of Semisimple Gamma Rings

Authors

  • Mehdi S. Abbas Department of Mathematics, College of Science, Al-Mustansiriyah University, Baghdad, Iraq
  • Saad Abdul kadhim Al-Saadi Department of Mathematics, College of Science, Al-Mustansiriyah University, Baghdad, Iraq
  • Emad Allawi Shallal Department of Mathematics, College of Science, Al-Mustansiriyah University, Baghdad, Iraq https://orcid.org/0000-0003-4731-5213

Keywords:

Semisimple Gamma Module, Multiplication Gamma Module, Duo Gamma Module, Fully Idempotent Gamma Module, Regular Gamma Module.

Abstract

In this paper we introduce and study the concepts of semisimple gamma modules , regular gamma modules and fully idempotent gamma modules as a generalization of semisimple ring. An module is called fully idempotent (semisimple , regular) if for all submodule of (every submodule is a direct summand, for each , there exists and such that . We study some properties and relationships between them.

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Published

2021-11-30

Issue

Vol 58 No 3C (2017)

Section

Mathematics

How to Cite

Some Generalizations of Semisimple Gamma Rings. (2021). Iraqi Journal of Science, 58(3C), 1720-1728. https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/5801