Minimax isomorphism algorithm and primitive posets
The notion of minimax equivalence of posets, and a close notion of minimax isomorphism, introduced by the author are widely used in the study of quadratic Tits forms (in particular, for the description of \(P\)-critical and \(P\)-supercritical posets). In this paper, for an important special ca...
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| Дата: | 2018 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/679 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543038831067136 |
|---|---|
| author | Bondarenko, Vitalij M. |
| author_facet | Bondarenko, Vitalij M. |
| author_sort | Bondarenko, Vitalij M. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-04T09:31:27Z |
| description | The notion of minimax equivalence of posets, and a close notion of minimax isomorphism, introduced by the author are widely used in the study of quadratic Tits forms (in particular, for the description of \(P\)-critical and \(P\)-supercritical posets). In this paper, for an important special case, we modify an algorithm of classifying all posets minimax isomorphic to a given one (described earlier by the author together with M.V.Stepochkina) by introducing the concept of weak isomorphism. |
| first_indexed | 2025-12-02T15:40:37Z |
| format | Article |
| id | admjournalluguniveduua-article-679 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:40:37Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-6792018-04-04T09:31:27Z Minimax isomorphism algorithm and primitive posets Bondarenko, Vitalij M. critical poset, quadratic Tits form, minimax equivalence, weak isomorphism 16G20 The notion of minimax equivalence of posets, and a close notion of minimax isomorphism, introduced by the author are widely used in the study of quadratic Tits forms (in particular, for the description of \(P\)-critical and \(P\)-supercritical posets). In this paper, for an important special case, we modify an algorithm of classifying all posets minimax isomorphic to a given one (described earlier by the author together with M.V.Stepochkina) by introducing the concept of weak isomorphism. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/679 Algebra and Discrete Mathematics; Vol 12, No 2 (2011) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/679/213 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | critical poset quadratic Tits form minimax equivalence weak isomorphism 16G20 Bondarenko, Vitalij M. Minimax isomorphism algorithm and primitive posets |
| title | Minimax isomorphism algorithm and primitive posets |
| title_full | Minimax isomorphism algorithm and primitive posets |
| title_fullStr | Minimax isomorphism algorithm and primitive posets |
| title_full_unstemmed | Minimax isomorphism algorithm and primitive posets |
| title_short | Minimax isomorphism algorithm and primitive posets |
| title_sort | minimax isomorphism algorithm and primitive posets |
| topic | critical poset quadratic Tits form minimax equivalence weak isomorphism 16G20 |
| topic_facet | critical poset quadratic Tits form minimax equivalence weak isomorphism 16G20 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/679 |
| work_keys_str_mv | AT bondarenkovitalijm minimaxisomorphismalgorithmandprimitiveposets |