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Title: The Ext algebra and a new generalisation of D-Koszul algebras
Authors: Leader, Joanne
Snashall, Nicole
First Published: 17-Dec-2016
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.
DOI Link: 10.1093/qmath/haw049
ISSN: 0033-5606
eISSN: 1464-3847
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
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

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