Properties of J- Regular modules

Authors

  • Rafid M. Al-Shaibani Department of Mathematic, College of Science, University of Baghdad, Baghdad, Iraq
  • Nuhad S. AL-Mothafar Department of Mathematic, College of Science, University of Baghdad, Baghdad, Iraq

Keywords:

pure submodules, J-pure submodules, regular modules, J-regular modules

Abstract

The present study introduces the concept of J-pure submodules as a generalization of pure submodules. We  study some of its basic  properties  and  by using this concept we  define the class of  J-regular modules,  where an R-module  M is called  J-regular module if every submodule of M is J-pure submodule. Many results about this concept are proved

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Published

2019-03-27

Issue

Section

Mathematics

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