Document Type : Original Manuscript

Author

Department of Mathematics, Shahid Chamran University of Ahvaz, P.O. Box: 6135713895, Ahvaz, Iran.

Abstract

We introduce and study the concept of $\alpha$-semi short modules. Using this concept we extend some of the basic results of $\alpha$-short modules to $\alpha$-semi short modules. We observe that if $M$ is an $\alpha$-semi short module then the dual perfect dimension of $M$ is $\alpha$ or $\alpha +1$. %In particular, if a semiprime ring $R$ is $\alpha$-semi short as an $R$-module, then its Noetherian dimension either is $\alpha$ or $\alpha +1$.

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