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

Abstract EN

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