Open Access
2006 PARTIAL LATIN SQUARES AND THEIR GENERALIZED QUOTIENTS
L. Yu. Glebsky, Carlos J. Rubio
Taiwanese J. Math. 10(5): 1157-1167 (2006). DOI: 10.11650/twjm/1500557295

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.

Citation

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L. Yu. Glebsky. Carlos J. Rubio. "PARTIAL LATIN SQUARES AND THEIR GENERALIZED QUOTIENTS." Taiwanese J. Math. 10 (5) 1157 - 1167, 2006. https://doi.org/10.11650/twjm/1500557295

Information

Published: 2006
First available in Project Euclid: 20 July 2017

zbMATH: 1107.05016
MathSciNet: MR2253371
Digital Object Identifier: 10.11650/twjm/1500557295

Subjects:
Primary: 05B15 , 05B20 , 05C65 , 05D15

Keywords: amalgamation , Latin squares , Quasigroups , quotients

Rights: Copyright © 2006 The Mathematical Society of the Republic of China

Vol.10 • No. 5 • 2006
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