|
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
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
Citation:
M. A. Dokuchaev, V. V. Kirichenko, M. V. Plakhotnyk, B. V. Novikov, “Gorenstein Latin squares”, Algebra Discrete Math., 2008, no. 4, 23–39
Linking options:
https://www.mathnet.ru/eng/adm176 https://www.mathnet.ru/eng/adm/y2008/i4/p23
|
Statistics & downloads: |
Abstract page: | 142 | Full-text PDF : | 52 | First page: | 1 |
|