On classifying the non-Tits P-critical posets

dc.contributor.author	Bondarenko, V.M.
dc.contributor.author	Styopochkina, M.V.
dc.date.accessioned	2023-03-14T16:42:51Z
dc.date.available	2023-03-14T16:42:51Z
dc.date.issued	2021
dc.identifier.citation	On classifying the non-Tits P-critical posets / V.M. Bondarenko, M.V. Styopochkina // Algebra and Discrete Mathematics. — 2021. — Vol. 32, № 2. — С. 185-196. — Бібліогр.: 16 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	DOI:10.12958/adm1912
dc.identifier.other	2020 MSC: 15B33, 15A30
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/188746
dc.description.abstract	In 2005, the authors described all introduced by them P-critical posets (minimal finite posets with the quadratic Tits form not being positive); up to isomorphism, their number is 132 (75 if duality is considered). Later (in 2014) A. Polak and D. Simson offered an alternative way of proving by using computer algebra tools. In doing this, they defined and described the Tits P-critical posets as a special case of the P-critical posets. In this paper we classify all the non-Tits P-critical posets without complex calculations and without using the list of all P-critical ones.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	On classifying the non-Tits P-critical posets	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA