uu.seUppsala University Publications
Change search
ReferencesLink to record
Permanent link

Direct link
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra, Geometry and Logic.
2010 (English)In: Journal of the Australian Mathematical Society, ISSN 1446-7887, E-ISSN 1446-8107, Vol. 89, no 1, 23-49 p.Article in journal (Refereed) Published
Abstract [en]

We give a complete picture of the interaction between the Koszul and Ringel dualities for graded standardly stratified algebras (in the sense of Cline, Parshall and Scott) admitting linear tilting (co)resolutions of standard and proper costandard modules. We single out a certain class of graded standardly stratified algebras, imposing the condition that standard filtrations of projective modules are finite, and develop a tilting theory for such algebras. Under the assumption on existence of linear tilting (co)resolutions we show that algebras from this class are Koszul, that both the Ringel and Koszul duals belong to the same class, and that these two dualities on this class commute.

Place, publisher, year, edition, pages
2010. Vol. 89, no 1, 23-49 p.
Keyword [en]
stratified algebra, Koszul algebra, tilting module, Ringel duality
National Category
URN: urn:nbn:se:uu:diva-135334DOI: 10.1017/S1446788710001497ISI: 000283959400004OAI: oai:DiVA.org:uu-135334DiVA: diva2:375530
Available from: 2010-12-08 Created: 2010-12-06 Last updated: 2011-03-01Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text
By organisation
Algebra, Geometry and Logic
In the same journal
Journal of the Australian Mathematical Society

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 110 hits
ReferencesLink to record
Permanent link

Direct link