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 char-acterize when the Ringel dual of a standardly s...
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| Дата: | 2018 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/998 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543442731008000 |
|---|---|
| author | Frisk, Anders |
| author_facet | Frisk, Anders |
| author_sort | Frisk, Anders |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-05-15T06:07:40Z |
| 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 char-acterize 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 | 2026-02-08T07:59:56Z |
| format | Article |
| id | admjournalluguniveduua-article-998 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:59:56Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-9982018-05-15T06:07:40Z Two-step tilting for standardly stratified algebras Frisk, Anders stratified algebra, two-step tilting, finitistic dimension 16E10, 16G10 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 char-acterize 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. Lugansk National Taras Shevchenko University 2018-05-15 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/998 Algebra and Discrete Mathematics; Vol 3, No 3 (2004) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/998/527 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | stratified algebra two-step tilting finitistic dimension 16E10 16G10 Frisk, Anders Two-step tilting for standardly stratified algebras |
| 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 |
| topic | stratified algebra two-step tilting finitistic dimension 16E10 16G10 |
| topic_facet | stratified algebra two-step tilting finitistic dimension 16E10 16G10 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/998 |
| work_keys_str_mv | AT friskanders twosteptiltingforstandardlystratifiedalgebras |