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Gorenstein Latin squares. (English) Zbl 1174.20344
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