Gorenstein Dimension and AS-Gorenstein Algebras

Kenta Ueyama
2014 Communications in Algebra  
The purpose of this paper is to connect the notion of Gorenstein dimension with AS-Gorenstein algebras. In particular, we show that a noetherian connected graded algebra having a balanced dualizing complex is AS-Gorenstein if the balanced dualizing complex has finite Gorenstein dimension. As a preparation, we generalize the Auslander-Bridger formula to the class of noncommutative noetherian connected graded algebras having balanced dualizing complexes.
doi:10.1080/00927872.2013.807111 fatcat:b7ohfqelr5ds3jjmmkvvd43cam