A generalization of Artinian modules

As a generalization of the Artinian module, we introduce the class of pseudo Artinian modules. We explore some algebraic properties of this class, and we study some topological properties of the prime spectrum of pseudo Artinian modules.

کلیدواژه ها:

Artinian modules ، pseudo Artinian modules ، prime submodule ، Noetherian space ، Spectral space