The dual notions of semi-essential submodules and semi-uniform modules

  • Muna Abbas Ahmed Department of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq
Keywords: Semi-essential submodules, P-small submodules, Cosemi-essential submodules, Cosemi-uniform modules

Abstract

     The purpose of this paper is to introduce dual notions of two known concepts which are semi-essential submodules and semi-uniform modules. We call these concepts; cosemi-essential submodules and cosemi-uniform modules respectively. Also, we verify that these concepts form generalizations of two well-known classes; coessential submodules and couniform modules respectively. Some conditions are considered to obtain the equivalence between cosemi-uniform and couniform. Furthermore, the relationships of cosemi-uniform module with other related concepts are studied, and some conditional characterizations of cosemi-uniform modules are investigated.

Published
2018-11-29
How to Cite
Ahmed, M. A. (2018). The dual notions of semi-essential submodules and semi-uniform modules. Iraqi Journal of Science, 59(4B), 2107-2116. Retrieved from https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/518
Section
Mathematics

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