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≤8.
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2008 |
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2008
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/153369 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Gorenstein Latin squares / M.A. Dokuchaev, V.V. Kirichenko, B.V. Novikov, M.V. Plakhotnyk // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 4. — С. 23–39. — Бібліогр.: 17 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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Dokuchaev, M.A. Kirichenko, V.V. Novikov, B.V. Plakhotnyk, M.V. 2019-06-14T03:38:01Z 2019-06-14T03:38:01Z 2008 Gorenstein Latin squares / M.A. Dokuchaev, V.V. Kirichenko, B.V. Novikov, M.V. Plakhotnyk // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 4. — С. 23–39. — Бібліогр.: 17 назв. — англ. 1726-3255 https://nasplib.isofts.kiev.ua/handle/123456789/153369 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≤8. This work was partially supported by CNPq and FAPESP of Brazi l and DFFD of Ukraine en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Gorenstein Latin squares Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Gorenstein Latin squares |
| spellingShingle |
Gorenstein Latin squares Dokuchaev, M.A. Kirichenko, V.V. Novikov, B.V. Plakhotnyk, M.V. |
| 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 |
| 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. |
| publishDate |
2008 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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≤8.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/153369 |
| citation_txt |
Gorenstein Latin squares / M.A. Dokuchaev, V.V. Kirichenko, B.V. Novikov, M.V. Plakhotnyk // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 4. — С. 23–39. — Бібліогр.: 17 назв. — англ. |
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AT dokuchaevma gorensteinlatinsquares AT kirichenkovv gorensteinlatinsquares AT novikovbv gorensteinlatinsquares AT plakhotnykmv gorensteinlatinsquares |
| first_indexed |
2025-12-07T19:01:04Z |
| last_indexed |
2025-12-07T19:01:04Z |
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1850877216569688064 |