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Algebra and Discrete Mathematics, 2004, выпуск 3, страницы 38–59
(Mi adm347)
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Эта публикация цитируется в 4 научных статьях (всего в 4 статьях)
RESEARCH ARTICLE
Two-step tilting for standardly stratified algebras
Anders Frisk Department of Mathematics, Uppsala University, Box 480, SE–75106, Uppsala, Sweden
Аннотация:
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.
Ключевые слова:
stratified algebra, two-step tilting, finitistic dimension.
Образец цитирования:
Anders Frisk, “Two-step tilting for standardly stratified algebras”, Algebra Discrete Math., 2004, no. 3, 38–59
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm347 https://www.mathnet.ru/rus/adm/y2004/i3/p38
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Страница аннотации: | 178 | PDF полного текста: | 74 | Первая страница: | 1 |
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