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Lindner, Charles C.

On the construction of cyclic quasigroups. (English) Zbl 0268.20052

Discrete Math. 6, 149-158 (1973).
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Cited in 8 Documents

MSC:

20N05 Loops, quasigroups
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References:

[1] Hall, M., Distinct representatives of subsets, Bull. Am. Math. Soc., 54, 922-926 (1948) · Zbl 0032.27101
[2] Lindner, C. C., Identities preserved by the singular direct product, Algebra Universalis, 1, 86-89 (1971) · Zbl 0221.20099
[3] Lindner, C. C., Construction of quasigroups using the singular direct product, Proc. Am. Math. Soc., 29, 263-266 (1971) · Zbl 0217.08304
[4] Lindner, C. C., Identities preserved by the singular direct product II, Algebra Universalis, 2, 113-117 (1972) · Zbl 0249.20038
[5] C.C. Lindner and N.S. Mendelsohn, Construction of perpendicular Steiner quasigroups, Aequationes Math., to appear.; C.C. Lindner and N.S. Mendelsohn, Construction of perpendicular Steiner quasigroups, Aequationes Math., to appear. · Zbl 0267.20067
[6] Mendelsohn, N. S., Combinatorial designs as models of universal algebras, (Recent progress in combinatorics (1969), Academic Press: Academic Press New York), 123-132 · Zbl 0192.33302
[7] N.S. Mendelsohn, A natural generalization of Steiner triple systems, J. Combin. Theory, to appear.; N.S. Mendelsohn, A natural generalization of Steiner triple systems, J. Combin. Theory, to appear. · Zbl 0216.30102
[8] Sade, A., Produit direct singulier de quasigroupes, orthogonaux et anti-abéliens, Ann. Soc. Sci. Bruxelles, 74, 91-99 (1960), Sér. I · Zbl 0100.02204
[9] Shaw, J. B., On parastrophic algebras, Trans. Am. Math. Soc., 16, 361-370 (1915) · JFM 45.0190.01
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