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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| Дата: | 2004 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2004
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-156413 |
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dspace |
| spelling |
irk-123456789-1564132019-06-19T01:28:46Z Two-step tilting for standardly stratified algebras Frisk, A. 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. 2004 Article 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 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Frisk, A. |
| spellingShingle |
Frisk, A. Two-step tilting for standardly stratified algebras Algebra and Discrete Mathematics |
| author_facet |
Frisk, A. |
| author_sort |
Frisk, A. |
| title |
Two-step tilting for standardly stratified algebras |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2004 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT friska twosteptiltingforstandardlystratifiedalgebras |
| first_indexed |
2023-05-20T17:49:33Z |
| last_indexed |
2023-05-20T17:49:33Z |
| _version_ |
1796154187537448960 |