M. A. Dokuchaev, V. V. Kirichenko, M. V. Plakhotnyk, B. V. Novikov, “Gorenstein Latin squares”, Algebra Discrete Math., 2008, Issue 4,Pages <nobr>23

RESEARCH ARTICLE

Gorenstein Latin squares

M. A. Dokuchaev^a, V. V. Kirichenko^b, M. V. Plakhotnyk^b, B. V. Novikov^c

^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

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

Language: English