Primary rimary finitely compactly packed modules and dauns-primary submodules over noncommutative rings

Abstract EN

In this paper we generalize the concept of primary finitely compactly packed modules over noncommutative rings.

This concept generalizes the concepts of primary compactly packed modules over noncommutative rings, and primary finitely compactly packed modules over commutative rings.

We first find the relation between primary finitely compactly packed modules and primary compactly packed modules over noncommutative rings.

We also prove several results on the primary finitely compactly packed modules over noncommutative rings.

In addition, we introduce the definition of Dauns-primary submodules over noncommutative rings, and investigate the relation between this concept and the concepts of Dauns-prime submodules, and primary submodules over noncommutative rings.