Two-step tilting for standardly stratified algebras
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...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
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| Дата: | 2004 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2004
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/156413 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Two-step tilting for standardly stratified algebras / A. Frisk // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 38–59. — Бібліогр.: 13 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | 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.
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| ISSN: | 1726-3255 |