On classifying the non-Tits P-critical posets
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...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2021 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2021
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/188746 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862744627535151104 |
|---|---|
| author | Bondarenko, V.M. Styopochkina, M.V. |
| author_facet | Bondarenko, V.M. Styopochkina, M.V. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | 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.
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| first_indexed | 2025-12-07T20:36:56Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188746 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T20:36:56Z |
| publishDate | 2021 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Bondarenko, V.M. Styopochkina, M.V. 2023-03-14T16:42:51Z 2023-03-14T16:42:51Z 2021 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. 1726-3255 DOI:10.12958/adm1912 2020 MSC: 15B33, 15A30 https://nasplib.isofts.kiev.ua/handle/123456789/188746 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On classifying the non-Tits P-critical posets Article published earlier |
| spellingShingle | On classifying the non-Tits P-critical posets Bondarenko, V.M. Styopochkina, M.V. |
| title | On classifying the non-Tits P-critical posets |
| title_full | On classifying the non-Tits P-critical posets |
| title_fullStr | On classifying the non-Tits P-critical posets |
| title_full_unstemmed | On classifying the non-Tits P-critical posets |
| title_short | On classifying the non-Tits P-critical posets |
| title_sort | on classifying the non-tits p-critical posets |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188746 |
| work_keys_str_mv | AT bondarenkovm onclassifyingthenontitspcriticalposets AT styopochkinamv onclassifyingthenontitspcriticalposets |