Combinatorial properties of non-serial posets with positive Tits quadratic form
We study properties of partially ordered sets with the positive Tits quadratics forms, associated with the calculation of their transitivity coefficients. Such posets, which were classified by the authors earlier, are analogs of Dynkin diagrams in the set of all finite posets.
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| Datum: | 2023 |
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| Format: | Artikel |
| Sprache: | English |
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Lugansk National Taras Shevchenko University
2023
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2151 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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admjournalluguniveduua-article-21512023-12-11T16:21:07Z Combinatorial properties of non-serial posets with positive Tits quadratic form Bondarenko, V. M. Styopochkina, M. V. self-dual poset, direct sum of posets, Dynkin diagram, Hasse diagram, Tits quadratic form, transitivity coefficient 15B33; 15A30 We study properties of partially ordered sets with the positive Tits quadratics forms, associated with the calculation of their transitivity coefficients. Such posets, which were classified by the authors earlier, are analogs of Dynkin diagrams in the set of all finite posets. Lugansk National Taras Shevchenko University 2023-12-11 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2151 10.12958/adm2151 Algebra and Discrete Mathematics; Vol 36, No 1 (2023) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2151/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2151/1108 Copyright (c) 2023 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
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| datestamp_date |
2023-12-11T16:21:07Z |
| collection |
OJS |
| language |
English |
| topic |
self-dual poset direct sum of posets Dynkin diagram Hasse diagram Tits quadratic form transitivity coefficient 15B33 15A30 |
| spellingShingle |
self-dual poset direct sum of posets Dynkin diagram Hasse diagram Tits quadratic form transitivity coefficient 15B33 15A30 Bondarenko, V. M. Styopochkina, M. V. Combinatorial properties of non-serial posets with positive Tits quadratic form |
| topic_facet |
self-dual poset direct sum of posets Dynkin diagram Hasse diagram Tits quadratic form transitivity coefficient 15B33 15A30 |
| format |
Article |
| author |
Bondarenko, V. M. Styopochkina, M. V. |
| author_facet |
Bondarenko, V. M. Styopochkina, M. V. |
| author_sort |
Bondarenko, V. M. |
| title |
Combinatorial properties of non-serial posets with positive Tits quadratic form |
| title_short |
Combinatorial properties of non-serial posets with positive Tits quadratic form |
| title_full |
Combinatorial properties of non-serial posets with positive Tits quadratic form |
| title_fullStr |
Combinatorial properties of non-serial posets with positive Tits quadratic form |
| title_full_unstemmed |
Combinatorial properties of non-serial posets with positive Tits quadratic form |
| title_sort |
combinatorial properties of non-serial posets with positive tits quadratic form |
| description |
We study properties of partially ordered sets with the positive Tits quadratics forms, associated with the calculation of their transitivity coefficients. Such posets, which were classified by the authors earlier, are analogs of Dynkin diagrams in the set of all finite posets. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2023 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2151 |
| work_keys_str_mv |
AT bondarenkovm combinatorialpropertiesofnonserialposetswithpositivetitsquadraticform AT styopochkinamv combinatorialpropertiesofnonserialposetswithpositivetitsquadraticform |
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2025-12-02T15:26:10Z |
| last_indexed |
2025-12-02T15:26:10Z |
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1850411854957903872 |