Weakly Second Modules Over Noncommutative Rings

Abstract

Let R be an arbitrary ring. In this paper we will introduce the concept of a weakly second R-module (a generalization of the second R-module) and we will obtain some related results.

On the Strongly Annihilating-Submodule Graph of a Module

“…Clearly, any prime module is weakly prime and also any second module is weakly second. For more details about these notions, the reader is referred to [12,16,17].…”