International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 9, Pages 1473-1480

A noncommutative generalization of Auslander's last theorem

Edgar E. Enochs,1 Overtoun M. G. Jenda,2 and J. A. López-Ramos3

1Department of Mathematics, College of Arts and Sciences, University of Kentucky, Lexington 40506-0027, KY, USA
2Department of Mathematics and Statistics, College of Sciences and Mathematics, Auburn University, 36849-5310, AL, USA
3Departamento de Álgebra y Análisis, Facultad de Ciencias Experimentales, Universidad de Almería, Matemático 04120, Almería, Spain

Received 26 July 2004

Copyright © 2005 Edgar E. Enochs et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We show that every finitely generated left R-module in the Auslander class over an n-perfect ring R having a dualizing module and admitting a Matlis dualizing module has a Gorenstein projective cover.