Gorenstein Latin squares

M. A. Dokuchaev, V. V. Kirichenko, B. V. Novikov, M. V. Plakhotnyk

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 \(n\leq 8\).


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