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.

Збережено в:
Бібліографічні деталі
Дата:2023
Автори: Bondarenko, V. M., Styopochkina, M. V.
Формат: Стаття
Мова:English
Опубліковано: Lugansk National Taras Shevchenko University 2023
Теми:
Онлайн доступ: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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Algebra and Discrete Mathematics
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Резюме: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.