On $\alpha$-almost Artinian type modules

Articles in Press

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 $\alpha$-almost Artinian type and $\alpha $- Krull type modules. Using these concepts we extend some of the basic results of $\alpha $-almost Artinian and $\alpha $-Krull modules to $\alpha$-almost Artinian type and $\alpha $-Krull type modules. We observe that if $M$ is an $\alpha$-Krull type module then the uncountably generated Krull dimension of $M$ is either $\alpha$ or $\alpha+1$.

Keywords

References

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Algebraic Structures and Their Applications

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