Two-step tilting for standardly stratified algebras
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Two-step tilting for standardly stratified algebras
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| Creator |
Frisk, A.
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| 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. |
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| Date |
2019-06-18T13:28:36Z
2019-06-18T13:28:36Z 2004 |
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| Type |
Article
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| Identifier |
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. http://dspace.nbuv.gov.ua/handle/123456789/156413 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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