Dokuchaev, M. A.; Kirichenko, V. V.; Novikov, B. V.; Plakhotnyk, M. V. Gorenstein Latin squares. (English) Zbl 1174.20344 Algebra Discrete Math. 2008, No. 4, 23-39 (2008). Summary: 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 \(n\leq 8\). MSC: 20N05 Loops, quasigroups 05B15 Orthogonal arrays, Latin squares, Room squares Keywords:Gorenstein Latin squares; loops; quasigroups PDF BibTeX XML Cite \textit{M. A. Dokuchaev} et al., Algebra Discrete Math. 2008, No. 4, 23--39 (2008; Zbl 1174.20344)