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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| Date: | 2018 |
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Lugansk National Taras Shevchenko University
2018
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oai:ojs.admjournal.luguniv.edu.ua: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 |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
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| datestamp_date |
2018-04-04T09:31:27Z |
| collection |
OJS |
| language |
English |
| topic |
critical poset quadratic Tits form minimax equivalence weak isomorphism 16G20 |
| spellingShingle |
critical poset quadratic Tits form minimax equivalence weak isomorphism 16G20 Bondarenko, Vitalij M. Minimax isomorphism algorithm and primitive posets |
| topic_facet |
critical poset quadratic Tits form minimax equivalence weak isomorphism 16G20 |
| format |
Article |
| author |
Bondarenko, Vitalij M. |
| author_facet |
Bondarenko, Vitalij M. |
| author_sort |
Bondarenko, Vitalij M. |
| title |
Minimax isomorphism algorithm and primitive posets |
| title_short |
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_sort |
minimax isomorphism algorithm and primitive posets |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/679 |
| work_keys_str_mv |
AT bondarenkovitalijm minimaxisomorphismalgorithmandprimitiveposets |
| first_indexed |
2025-07-17T10:35:37Z |
| last_indexed |
2025-07-17T10:35:37Z |
| _version_ |
1837890050880176128 |