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Construction of quasigroups using the singular direct product. (English) Zbl 0217.08304


MSC:

20N05 Loops, quasigroups
Full Text: DOI

References:

[1] Jean Doyen, Sur la croissance du nombre de systèmes triples de Steiner non isomorphes, J. Combinatorial Theory 8 (1970), 424 – 441 (French). · Zbl 0192.33304
[2] Charles C. Lindner, The generalized singular direct product for quasigroups, Canad. Math. Bull. 14 (1971), 61 – 63. · Zbl 0215.11501 · doi:10.4153/CMB-1971-011-0
[3] C. C. Lindner, Identities preserved by the singular direct product, Algebra Universalis 1 (1971), no. 1, 86 – 89. · Zbl 0221.20099 · doi:10.1007/BF02944960
[4] E. Hastings Moore, Concerning triple systems, Math. Ann. 43 (1893), no. 2-3, 271 – 285. · JFM 25.0198.02 · doi:10.1007/BF01443649
[5] A. Sade, Produit direct-singulier de quasigroupes orthogonaux et anti-abéliens, Ann. Soc. Sci. Bruxelles Sér. I 74 (1960), 91 – 99 (French). · Zbl 0100.02204
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