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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2008 |
| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/153369 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| _version_ | 1862727147254185984 |
|---|---|
| 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. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T19:01:04Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-153369 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T19:01:04Z |
| publishDate | 2008 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Gorenstein Latin squares Dokuchaev, M.A. Kirichenko, V.V. Novikov, B.V. Plakhotnyk, M.V. |
| title | Gorenstein Latin squares |
| title_full | Gorenstein Latin squares |
| title_fullStr | Gorenstein Latin squares |
| title_full_unstemmed | Gorenstein Latin squares |
| title_short | Gorenstein Latin squares |
| title_sort | gorenstein latin squares |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/153369 |
| work_keys_str_mv | AT dokuchaevma gorensteinlatinsquares AT kirichenkovv gorensteinlatinsquares AT novikovbv gorensteinlatinsquares AT plakhotnykmv gorensteinlatinsquares |