Nearly Semiprime Submodules

Authors

  • Nuhad Salim Al-Mothafar Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
  • Mohammed B.H.Alhakeem Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

Keywords:

semiprime submodule, nearly semiprime submodule, regular module, nearly regular module

Abstract

Let be a commutative ring with unity and let be a submodule of anon zero left R-module , is called semiprime if whenever , implies . In this paper we say that is nearly semiprime, if whenever , implies ( ),(in short ),where ( )is the Jacobson radical of . We give many results of this type of submodules.

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Published

2023-02-08

Issue

Vol. 56 No. 4B (2015)

Section

Mathematics

How to Cite

Nearly Semiprime Submodules. (2023). Iraqi Journal of Science, 56(4B), 3210-3214. https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/9422