Combinatorial properties of non-serial posets with positive Tits quadratic form

• Date: 2023
• Main Authors: Bondarenko, V. M., Styopochkina, M. V.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2023
• Subjects: self-dual poset; direct sum of posets; Dynkin diagram; Hasse diagram; Tits quadratic form; transitivity coefficient; 15B33; 15A30
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2151
• Journal Title: Algebra and Discrete Mathematics

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.