On primary compactly packed modules over noncommutative rings

Abstract EN

This research considers three basic concepts concerning primary submodules, which are important, at least to some mathematicians.

The first concept is the concept of primary radical of a submodule, the second concept is the concept of minimal primary submodules, and the third one is the concept of primary compactly packed modules.

In this paper, we generalize these three concepts over noncommutative rings and generalize many results concerning them, in the rings that are not necessary commutative.