Abstract
In [2], A. Sade gives a construction for quasigroups which he calls the singular direct product. In this paper we generalize Sades' construction. As an application we obtain a recursive construction for quasigroups orthogonal to their transposes. All quasigroups considered in this paper will be finite.
Publisher
Canadian Mathematical Society
Cited by
15 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Bibliography;Latin Squares and their Applications;2015
2. Totally anti-symmetric quasigroups for all orders n≠2,6;Discrete Mathematics;2007-03
3. Quasigroups;Journal of Soviet Mathematics;1990-04
4. Symmetric Inseparable Double Squares;Combinatorial Mathematics, Proceedings of the International Colloquium on Graph Theory and Combinatorics;1983
5. On Linked Arrays of Pairs;North-Holland Mathematics Studies;1982