Title of article :
A generalization of Artinian modules
Author/Authors :
Hassanzadeh-Lelekaami ، Dawood Department of Basic Sciences - Arak University of Technology , Roshan-Shekalgourabi ، Hajar Department of Basic Sciences - Arak University of Technology
Abstract :
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.
Keywords :
Artinian modules , pseudo Artinian modules , prime submodule , Noetherian space , Spectral space
Journal title :
Caspian Journal of Mathematical Sciences (CJMS)
Journal title :
Caspian Journal of Mathematical Sciences (CJMS)
