English

Latin squares, partial latin squares and its generalized quotients

Combinatorics 2007-05-23 v1

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 when a set of triples is a quotient of a (partial) Latin square.

Cite

@article{arxiv.math/0303356,
  title  = {Latin squares, partial latin squares and its generalized quotients},
  author = {L. Yu. Glebsky and C. J. Rubio},
  journal= {arXiv preprint arXiv:math/0303356},
  year   = {2007}
}

Comments

8 pages, 2 figures

R2 v1 2026-07-22T16:53:04.385Z