R-annihilator-Coessential and R-annihilator-Coclosed Submodules

  • Omar K. Ibrahim Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
  • Alaa A. Elewi Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Keywords: Essential submodules, coclosed submodule, coessential submodule, R-annihilator - coessential, R- annihilator -coclosed

Abstract

Let be a unitary left R-module on associative ring with identity. A submodule of is called -annihilator small if , where is a submodule of , implies that ann( )=0, where ann( ) indicates annihilator of in . In this paper, we introduce the concepts of -annihilator-coessential and - annihilator - coclosed submodules. We give many properties related with these types of submodules.

Published
2020-04-26
How to Cite
Ibrahim, O. K., & Elewi, A. A. (2020). R-annihilator-Coessential and R-annihilator-Coclosed Submodules. Iraqi Journal of Science, 61(4), 820-823. https://doi.org/10.24996/ijs.2020.61.4.14
Section
Mathematics