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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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2019 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2019
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/188433 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862674156962709504 |
|---|---|
| author | Bondarenko, V.M. Styopochkina, M.V. |
| author_facet | Bondarenko, V.M. Styopochkina, M.V. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | 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 (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
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| first_indexed | 2025-12-07T15:39:58Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188433 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T15:39:58Z |
| publishDate | 2019 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Bondarenko, V.M. Styopochkina, M.V. 2023-03-01T15:35:49Z 2023-03-01T15:35:49Z 2019 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. 1726-3255 2010 MSC: 15B33, 15A30. https://nasplib.isofts.kiev.ua/handle/123456789/188433 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 (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 en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics The classification of serial posets with the non-negative quadratic Tits form being principal Article published earlier |
| spellingShingle | The classification of serial posets with the non-negative quadratic Tits form being principal Bondarenko, V.M. Styopochkina, M.V. |
| title | The classification of serial posets with the non-negative quadratic Tits form being principal |
| title_full | The classification of serial posets with the non-negative quadratic Tits form being principal |
| title_fullStr | The classification of serial posets with the non-negative quadratic Tits form being principal |
| title_full_unstemmed | The classification of serial posets with the non-negative quadratic Tits form being principal |
| title_short | The classification of serial posets with the non-negative quadratic Tits form being principal |
| title_sort | classification of serial posets with the non-negative quadratic tits form being principal |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188433 |
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