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

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
Nov 29, 2018
How to Cite
AHMED, Muna Abbas. The dual notions of semi-essential submodules and semi-uniform modules. Iraqi Journal of Science, [S.l.], p. 2107-2116, nov. 2018. ISSN 2312-1637. Available at: <http://scbaghdad.edu.iq/eijs/index.php/eijs/article/view/518>. Date accessed: 11 dec. 2018.
Section
Mathematics