Essentially Small Quasi-Dedekind Module Relative to a Module

Authors

  • Mukdad Qaess Hussein Department of Computer Science, College of Education for Pure Science, Diyala University, Diyala-Iraq.
  • Marrwa Abdallah Salih Department of Mathematics, College of Education for Pure Science, Tikrit University, Tikrit-Iraq.
  • Nagham Ali Hussen College of Engineering, University of Information Technology and Communications, Baghdad-Iraq.

Keywords:

Small modules, quasi-Dedekind modules

Abstract

Let R be a ring with identity and let M be a unitary left module over R. In this paper, we study direct summand (direct sum) of essentially small quasi-Dedekind module (essentially small quasi-Dedekind modules). Also, give the definition of essentially small quasi-Dedekind relative to a module with some examples. We give some of their basic properties and some examples that illustrate these properties.  

Published

2018-10-25

Issue

Section

Articles

How to Cite

(1)
Essentially Small Quasi-Dedekind Module Relative to a Module. ANJS 2018, No. 1, 171-173.