The classification of serial posets with the non-negative quadratic Tits form being principal

• Published in: Algebra and Discrete Mathematics
• Date: 2019
• Main Authors: Bondarenko, V.M., Styopochkina, M.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188433
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The classification of serial posets with the non-negative quadratic Tits form being principal / V.M. Bondarenko, M.V. Styopochkina // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 2. — С. 202–211. — Бібліогр.: 18 назв. — англ.

Using (introduced by the first author) the method of (min, max)-equivalence, we classify all serial principal posets, i.e. the posets S satisfying the following conditions: (1) the quadratic Tits form qS(z) : Zˢ⁺¹ → Z of S is non-negative; (2) KerqS(z) := {t | qS(t) = 0} is an infinite cyclic group...