Gorenstein Latin squares

• Published in: Algebra and Discrete Mathematics
• Date: 2008
• Main Authors: Dokuchaev, M.A., Kirichenko, V.V., Novikov, B.V., Plakhotnyk, M.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/153369
• 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.

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.