Please use this identifier to cite or link to this item:
|Title:||The Ext algebra and a new generalisation of D-Koszul algebras|
|Publisher:||Oxford University Press (OUP)|
|Citation:||Quarterly Journal of Mathematics, 2016, 1-26.|
|Abstract:||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.|
|Rights:||Copyright © 2016, Oxford University Press (OUP). Deposited with reference to the publisher’s open access archiving policy.|
|Description:||2010 Mathematics Subject Classification. 16G20, 16S37, 16E30|
The file associated with this record is under embargo until 12 months after publication, in accordance with the publisher's self-archiving policy. The full text may be available through the publisher links provided above.
|Appears in Collections:||Published Articles, Dept. of Mathematics|
Files in This Item:
|Leader_Snashall_Ext_algebra_QJM_6213 v2.pdf||Post-review (final submitted author manuscript)||395.17 kB||Adobe PDF||View/Open|
Items in LRA are protected by copyright, with all rights reserved, unless otherwise indicated.