Artinian* Modules

Year 2024, Early Access, 1 - 13

Ajim Uddin Ansari , Hwankoo Kim , Sanjeev Kumar Maurya , Ünsal Tekir

https://doi.org/10.24330/ieja.1571460

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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