Please use this identifier to cite or link to this item:
http://hdl.handle.net/123456789/118
Title: | Two-step tilting for standardly stratified algebras |
Authors: | Frisk, Anders |
Keywords: | алгебра |
Issue Date: | 2004 |
Publisher: | Луганский национальный университет им. Т. Шевченко |
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. |
URI: | http://hdl.handle.net/123456789/118 |
Appears in Collections: | Статті |
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File | Description | Size | Format | |
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adm-n3-4.pdf | 312.72 kB | Adobe PDF | View/Open |
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