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Algebra and Discrete Mathematics, 2008, Issue 4, Pages 23–39 (Mi adm176)  
RESEARCH ARTICLE

Gorenstein Latin squares

M. A. Dokuchaeva, V. V. Kirichenkob, M. V. Plakhotnykb, B. V. Novikovc

a Departamento de Matematica Univ. de  São Paulo; Caixa Postal 66281, São Paulo, SP; 05315–970 — Brazil
b Department of Mechanics and Mathematics, Kyiv National Taras Shevchenko Univ., Volodymyrska str., 64, 01033 Kyiv, Ukraine
c Faculty of Mechanics and Mathematics, Kharkov National Karazin Univ., Svobody sq., 4; 61077 Kharkov, Ukraine
Full-text PDF (238 kB)
Abstract: 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 $n\leq 8$.
Received: 21.10.2008
Revised: 15.12.2008
Bibliographic databases:
Document Type: Article
Language: English
Citation: M. A. Dokuchaev, V. V. Kirichenko, M. V. Plakhotnyk, B. V. Novikov, “Gorenstein Latin squares”, Algebra Discrete Math., 2008, no. 4, 23–39
Citation in format AMSBIB
\Bibitem{DokKirPla08}
\by M.~A.~Dokuchaev, V.~V.~Kirichenko, M.~V.~Plakhotnyk, B.~V.~Novikov
\paper Gorenstein Latin squares
\jour Algebra Discrete Math.
\yr 2008
\issue 4
\pages 23--39
\mathnet{http://mi.mathnet.ru/adm176}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2541169}
\zmath{https://zbmath.org/?q=an:1174.20344}
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