Construction of Quasigroups Using the Singular Direct Product

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Construction of Quasigroups Using the Singular Direct Product

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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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1971

ISSN: 0002-9939

DOI: 10.2307/2038123