Article ID Journal Published Year Pages File Type
4584505 Journal of Algebra 2015 24 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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