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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Construction of quasigroups using the singular direct product

Author: Charles C. Lindner
Journal: Proc. Amer. Math. Soc. 29 (1971), 263-266
MSC: Primary 20.95; Secondary 05.00
MathSciNet review: 0280635
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Abstract: The idea of a discrete $ w(x,y) = v(x,y)$ quasigroup is given along with a generalization of A. Sade's singular direct product. These notions are then used to construct certain types of quasigroups. In particular an algebraic generalization of E. H. Moore's construction of Steiner triple systems is obtained.

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PII: S 0002-9939(1971)0280635-1
Keywords: Quasigroups, discrete $ w(x,y) = v(x,y)$ quasigroups, Steiner quasigroups, singular direct product
Article copyright: © Copyright 1971 American Mathematical Society