Some aspects in Noetherian modules and rings

Abstract

Many authors have focused on the concept of Noetherian rings. M. Kosan and T. Quynh recently published an article on the Noetherian ring's new properties and their relation to the direct sum of injective hulls of simple right modules and essential extensions. Throughout this article, we extend the results of M. Kosan and T. Quynh to simple singular right modules and strongly singular injectivity.

Keywords

• noetherian ring
• singular modules