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 of a standardly...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2004 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2004
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/156413 |
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| Zitieren: | Two-step tilting for standardly stratified algebras / A. Frisk // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 38–59. — Бібліогр.: 13 назв. — англ. |
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Frisk, A. 2019-06-18T13:28:36Z 2019-06-18T13:28:36Z 2004 Two-step tilting for standardly stratified algebras / A. Frisk // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 38–59. — Бібліогр.: 13 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 16E10, 16G10. https://nasplib.isofts.kiev.ua/handle/123456789/156413 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. The research was partially supported by The Swedish Foundation for International Cooperation in Research and Higher Education (STINT). The author thanks V. Mazorchuk for his help during the preparation of the paper. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Two-step tilting for standardly stratified algebras Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Two-step tilting for standardly stratified algebras |
| spellingShingle |
Two-step tilting for standardly stratified algebras Frisk, A. |
| title_short |
Two-step tilting for standardly stratified algebras |
| title_full |
Two-step tilting for standardly stratified algebras |
| title_fullStr |
Two-step tilting for standardly stratified algebras |
| title_full_unstemmed |
Two-step tilting for standardly stratified algebras |
| title_sort |
two-step tilting for standardly stratified algebras |
| author |
Frisk, A. |
| author_facet |
Frisk, A. |
| publishDate |
2004 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/156413 |
| citation_txt |
Two-step tilting for standardly stratified algebras / A. Frisk // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 38–59. — Бібліогр.: 13 назв. — англ. |
| work_keys_str_mv |
AT friska twosteptiltingforstandardlystratifiedalgebras |
| first_indexed |
2025-12-07T15:39:13Z |
| last_indexed |
2025-12-07T15:39:13Z |
| _version_ |
1850864517842468864 |