Gorenstein Latin squares
We introduce the notion of a Gorenstein Latin square and consider loops and quasigroups related to them. We study some properties of normalized Gorenstein Latin squares and describe all of them with order \(n\leq 8\).
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| Datum: | 2018 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/825 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| id |
admjournalluguniveduua-article-825 |
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admjournalluguniveduua-article-8252018-03-22T09:57:42Z Gorenstein Latin squares Dokuchaev, M. A. Kirichenko, V. V. Novikov, B. V. Plakhotnyk, M. V. We introduce the notion of a Gorenstein Latin square and consider loops and quasigroups related to them. We study some properties of normalized Gorenstein Latin squares and describe all of them with order \(n\leq 8\). Lugansk National Taras Shevchenko University 2018-03-22 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/825 Algebra and Discrete Mathematics; Vol 7, No 4 (2008) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/825/355 Copyright (c) 2018 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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2018-03-22T09:57:42Z |
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OJS |
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English |
| topic |
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Dokuchaev, M. A. Kirichenko, V. V. Novikov, B. V. Plakhotnyk, M. V. Gorenstein Latin squares |
| topic_facet |
|
| format |
Article |
| author |
Dokuchaev, M. A. Kirichenko, V. V. Novikov, B. V. Plakhotnyk, M. V. |
| author_facet |
Dokuchaev, M. A. Kirichenko, V. V. Novikov, B. V. Plakhotnyk, M. V. |
| author_sort |
Dokuchaev, M. A. |
| title |
Gorenstein Latin squares |
| title_short |
Gorenstein Latin squares |
| title_full |
Gorenstein Latin squares |
| title_fullStr |
Gorenstein Latin squares |
| title_full_unstemmed |
Gorenstein Latin squares |
| title_sort |
gorenstein latin squares |
| description |
We introduce the notion of a Gorenstein Latin square and consider loops and quasigroups related to them. We study some properties of normalized Gorenstein Latin squares and describe all of them with order \(n\leq 8\). |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/825 |
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AT dokuchaevma gorensteinlatinsquares AT kirichenkovv gorensteinlatinsquares AT novikovbv gorensteinlatinsquares AT plakhotnykmv gorensteinlatinsquares |
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2025-12-02T15:46:43Z |
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2025-12-02T15:46:43Z |
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1850412184105910272 |