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Two-step tilting for standardly stratified algebras

Show simple item record Frisk, Anders 2015-10-29T13:44:00Z 2015-10-29T13:44:00Z 2004
dc.description.abstract We study the class of standardly stratified alge- bras 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 char- acterize when the Ringel dual of a standardly stratified algebra is weakly properly stratified and show the existence of a two-step tilt- ing 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. uk_UA
dc.language.iso en uk_UA
dc.publisher Луганский национальный университет им. Т. Шевченко uk_UA
dc.subject алгебра uk_UA
dc.title Two-step tilting for standardly stratified algebras uk_UA
dc.type Article uk_UA

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