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...
Збережено в:
| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2019 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2019
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/188433 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| 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| id |
nasplib_isofts_kiev_ua-123456789-188433 |
|---|---|
| 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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
The classification of serial posets with the non-negative quadratic Tits form being principal |
| spellingShingle |
The classification of serial posets with the non-negative quadratic Tits form being principal Bondarenko, V.M. Styopochkina, M.V. |
| title_short |
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_sort |
classification of serial posets with the non-negative quadratic tits form being principal |
| author |
Bondarenko, V.M. Styopochkina, M.V. |
| author_facet |
Bondarenko, V.M. Styopochkina, M.V. |
| publishDate |
2019 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/188433 |
| 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. |
| work_keys_str_mv |
AT bondarenkovm theclassificationofserialposetswiththenonnegativequadratictitsformbeingprincipal AT styopochkinamv theclassificationofserialposetswiththenonnegativequadratictitsformbeingprincipal AT bondarenkovm classificationofserialposetswiththenonnegativequadratictitsformbeingprincipal AT styopochkinamv classificationofserialposetswiththenonnegativequadratictitsformbeingprincipal |
| first_indexed |
2025-12-07T15:39:58Z |
| last_indexed |
2025-12-07T15:39:58Z |
| _version_ |
1850864565075574784 |