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Identities preserved by the singular direct product. II. (English) Zbl 0249.20038


MSC:

20N05 Loops, quasigroups
Full Text: DOI

References:

[1] Hall, M., Distinct representatives of subsets, Bull. Amer. Math. Soc., 54, 922-926 (1948) · Zbl 0032.27101 · doi:10.1090/S0002-9904-1948-09098-X
[2] Lindner, C. C., Identities preserved by the singular direct product, Algebra Universalis, 1, 86-89 (1971) · Zbl 0221.20099 · doi:10.1007/BF02944960
[3] C. C. Lindner and N. S. Mendelsohn,Construction of orthogonal Steiner quasigroups, (to appear). · Zbl 0267.20067
[4] C. C. Lindner and Tina H. Straley,Construction of quasigroups containing a specified number of subquasigroups of a given order, Algebra Universalis, (1971), 238-247. · Zbl 0229.20074
[5] N. S. Mendelsohn,A natural generalization of Steiner triple systems, J. Comb. Theory, (to appear). · Zbl 0216.30102
[6] Sade, A., Produit direct-singulier de quasigroups orthogonaux et anti-abéliens, Ann. Soc. Sci. Bruxelles, Sér. I., 74, 91-99 (1960) · Zbl 0100.02204
[7] Stein, S. K., On the foundations of quasigroups, Trans. Amer. Math. Soc., 85, 228-256 (1957) · Zbl 0079.02402 · doi:10.2307/1992972
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