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

dc.contributor.author	Bondarenko, V.
dc.contributor.author	Styopochkina, M.
dc.date.accessioned	2019-12-04T07:14:43Z
dc.date.available	2019-12-04T07:14:43Z
dc.date.issued	2019
dc.identifier.uri	http://hdl.handle.net/123456789/4386
dc.description	Bondarenko V. The classification of serial posets with the non-negative quadratic tits form being principal / V. Bondarenko , M .Styopochkina // Algebra and Discrete Mathematics. - 2019. - Vol. 27. - Number 2. - Рp.202 -211	uk_UA
dc.description.abstract	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) : Z \|S\|+1 → Z of S is non-negative; (2) Ker qS(z) := {t\| qS(t) = 0} is an infinite cyclic group (equivalently, the corank of the symmetric matrix of qS(z) is equal to 1); (3) for any m ∈ N, there is a poset S(m) ⊃ S such that S(m) satisfies (1), (2) and \|S(m) \ S\| = m.	uk_UA
dc.language.iso	en	uk_UA
dc.relation.ispartofseries	Математичні науки;
dc.subject	quiver	uk_UA
dc.subject	serial poset	uk_UA
dc.subject	principal poset	uk_UA
dc.subject	quadratic Tits form	uk_UA
dc.subject	semichain	uk_UA
dc.subject	minimax equivalence	uk_UA
dc.subject	one-side and two-side sums	uk_UA
dc.subject	minimax sum	uk_UA
dc.title	The classification of serial posets with the non-negative quadratic tits form being principal	uk_UA
dc.type	Article	uk_UA