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

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...

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Bibliographic Details
Date:2019
Main Authors: Bondarenko, V.M., Styopochkina, M.V.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2019
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/188433
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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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine