The Ext algebra and a new generalisation of D-Koszul algebras
journal contributionposted on 2016-11-16, 15:48 authored by Joanne Leader, Nicole Snashall
We generalise Koszul and D-Koszul algebras by introducing a class of graded algebras called (D, A)-stacked algebras. We give a characterisation of (D, A)-stacked algebras and show that their Ext algebra is finitely generated as an algebra in degrees 0, 1, 2 and 3. In the monomial case, we give an explicit description of the Ext algebra by quiver and relations, and show that the ideal of relations has a quadratic Gr¨obner basis; this enables us to give a regrading of the Ext algebra under which the regraded Ext algebra is a Koszul algebra.
CitationQuarterly Journal of Mathematics, 2016, 1-26.
Author affiliation/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics
- AM (Accepted Manuscript)