Rings with Auslander Dualizing Complexes 
Amnon Yekutieli, James J. Zhang 

To appear in J. Algebra. 

Abstract: A ring with an Auslander dualizing complex is a generalization of 
an Auslander-Gorenstein ring. We show that many results which hold for 
Auslander-Gorenstein rings also hold in the more general setting. On the 
other hand we give criteria for existence of Auslander dualizing complexes 
which show these occur quite frequently.

The most powerful tool we use is the Local Duality Theorem for connected 
graded algebras over a field. Filtrations allow the transfer of results to 
non-graded algebras.

We also prove some results of a categorical nature, most notably the 
functoriality of rigid dualizing complexes. 

Math Subject Class: 16D90