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Two-step tilting for standardly stratified algebras
Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Mathematics. Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Mathematics. Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Mathematics, Mathematics I -V. (Algebra and geometry)
2004 (English)In: Algebra Discrete Math., ISSN 1726-3255, no 3, 38-59 p.Article in journal (Refereed) Published
Abstract [en]

We study the class of standardly stratified algebras

introduced by Cline, Parshall and Scott, and its subclass of

the so-called weakly properly stratified

algebras, which generalizes the class of properly

stratified algebras introduced by Dlab. We characterize when the

Ringel dual of a standardly stratified algebra is weakly properly

stratified and show the existence of a

two-step tilting module. This allows us to calculate

the finitistic dimension of such

algebras. Finally, we also give a construction showing that each

finite partially pre-ordered set gives rise to a weakly properly

stratified algebras with a simple preserving duality.

Place, publisher, year, edition, pages
2004. no 3, 38-59 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-21966OAI: oai:DiVA.org:uu-21966DiVA: diva2:49739
Available from: 2007-01-09 Created: 2007-01-09 Last updated: 2011-01-12

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Frisk, Anders

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