International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 9, Pages 1473-1480
doi:10.1155/IJMMS.2005.1473
A noncommutative generalization of Auslander's last theorem.
Edgar E. Enochs1
, Overtoun M.G. Jenda2
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
Abstract
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.