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 case, we m...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2011 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2011
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/154863 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Minimax isomorphism algorithm and primitive posets / V.M. Bondarenko // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 2. — С. 31–71. — Бібліогр.: 9 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862670141006807040 |
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| author | Bondarenko, V.M. |
| author_facet | Bondarenko, V.M. |
| citation_txt | Minimax isomorphism algorithm and primitive posets / V.M. Bondarenko // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 2. — С. 31–71. — Бібліогр.: 9 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T15:29:35Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154863 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T15:29:35Z |
| publishDate | 2011 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Bondarenko, V.M. 2019-06-16T05:49:21Z 2019-06-16T05:49:21Z 2011 Minimax isomorphism algorithm and primitive posets / V.M. Bondarenko // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 2. — С. 31–71. — Бібліогр.: 9 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:16G20. https://nasplib.isofts.kiev.ua/handle/123456789/154863 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Minimax isomorphism algorithm and primitive posets Article published earlier |
| spellingShingle | Minimax isomorphism algorithm and primitive posets Bondarenko, V.M. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154863 |
| work_keys_str_mv | AT bondarenkovm minimaxisomorphismalgorithmandprimitiveposets |