Artinian* Modules

Abstract

In this paper, we introduce and study Artinian* modules as a generalization of Artinian modules. We transfer several results of Artinian modules to Artinian* modules. We also provide several characterizations of this new class of modules. Furthermore, we investigate the existence of secondary representation for Artinian* modules over commutative regular rings. Finally, we characterize Artinian* modules in the amalgamated module construction.

Keywords

• Artinian ring
• Artinian module
• Artinian* ring
• Artinian* module
• secondary representable module

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