On α-semi-Short Modules

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

Keywords