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DC Field | Value | Language |
---|---|---|
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 |
Appears in Collections: | Algebra and Discrete Mathematics. - № 2 (27). - 2019 |
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1393-4192-1-PB.pdf | 349.84 kB | Adobe PDF | View/Open |
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