On α-almost Artinian type modules

Document Type : Research Paper

Authors

Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran

Abstract

In this article we introduce and study the concepts of α-almost Artinian type and α- Krull type modules. Using these concepts we extend some of the basic results of α-almost Artinian and α-Krull modules to α-almost Artinian type and α-Krull type modules. We observe that if M is an α-Krull type module then the uncountably generated Krull dimension of M is either α or α+1.

Keywords


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