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Latin Squares, Partial Latin Squares and Their Generalized Quotients

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Abstract

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.

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Received: April, 2003

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Yu, G., Rubio, C. Latin Squares, Partial Latin Squares and Their Generalized Quotients. Graphs and Combinatorics 21, 365–375 (2005). https://doi.org/10.1007/s00373-005-0614-3

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  • DOI: https://doi.org/10.1007/s00373-005-0614-3

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