Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584505 | Journal of Algebra | 2015 | 24 Pages |
Abstract
We first give precise connections between Auslander–Bridger's grade, double centraliser properties and dominant dimension, and apply these to homological conjectures. Then we introduce gendo-d-Gorenstein algebras as correspondents of Gorenstein algebras under a Morita–Tachikawa correspondence. We characterise these algebras by homological properties and derive several of their properties, including higher Auslander correspondence.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Nan Gao, Steffen Koenig,