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 |
|---|---|
| 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| _version_ | 1862673524153384960 |
|---|---|
| author | Frisk, A. |
| author_facet | Frisk, A. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T15:39:13Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156413 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T15:39:13Z |
| publishDate | 2004 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Two-step tilting for standardly stratified algebras Frisk, A. |
| title | 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_short | Two-step tilting for standardly stratified algebras |
| title_sort | two-step tilting for standardly stratified algebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156413 |
| work_keys_str_mv | AT friska twosteptiltingforstandardlystratifiedalgebras |