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A (partial) Latin square is a table of multiplication of a (partial) quasigroup. Multiplication of a (partial) quasigroup may be considered as a set of triples. We give a necessary and sufficient condition for a set of triples to be a quotient of a (partial) latin square.doi:10.11650/twjm/1500557295 fatcat:tv276w2lsjcindoefo5yjwqgau