Latin Squares, Partial Latin Squares and Their Generalized Quotients

Latin Squares, Partial Latin Squares and Their Generalized Quotients

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. [PUBLICATION ABSTRACT]

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Veröffentlicht in:Graphs and combinatorics 2005-09, Vol.21 (3), p.365-375
Hauptverfasser: Yu, Glebsky L., Rubio, Carlos J.
Format: Artikel
Sprache:eng
Schlagworte:
Graph theory
Mathematics
Multiplication & division
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Beschreibung
Zusammenfassung: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. [PUBLICATION ABSTRACT]
ISSN:0911-0119
1435-5914
DOI:10.1007/s00373-005-0614-3