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Lindner, Charles C.; Mendelsohn, N. S.

Construction of perpendicular Steiner quasigroups. (English) Zbl 0267.20067

Aequationes Math. 9, 150-156 (1973).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0267.20067

Cited in 2 Reviews
Cited in 16 Documents

MSC:

20N05 Loops, quasigroups
05B05 Combinatorial aspects of block designs
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Full Text: DOI EuDML

References:

[1] C. C. Lindner,The Generalized Singular Direct Product for Quasigroups, Canad. Math. Bull.14, 61–63 (1971). · Zbl 0215.11501 · doi:10.4153/CMB-1971-011-0
[2] C. C. Lindner,Construction of Quasigroups Using the Singular Direct Product, Proc. Amer. Math. Soc.29, 263–266 (1971). · Zbl 0217.08304 · doi:10.1090/S0002-9939-1971-0280635-1
[3] C. C. Lindner,Identities Preserved by the Singular Direct Product, Algebra Universalis1, 86–89 (1971). · Zbl 0221.20099 · doi:10.1007/BF02944960
[4] C. C. Lindner,Construction of Quasigroups satisfying the Identity X(XY) = YX, Canad. Math. Bull.14, 57–59 (1971). · Zbl 0215.11502 · doi:10.4153/CMB-1971-010-3
[5] C. C. Lindner andTina H. Straley,Construction of Quasigroups Containing a Specified Number of Subquasigroups of a Given Order, Algebra Universalis, (to appear). · Zbl 0229.20074
[6] N. S. Mendelsohn,Orthogonal Steiner Systems, Aequationes Math.5, 268–272 (1970). · Zbl 0212.03501 · doi:10.1007/BF01818448
[7] C. D. O’Shaughnessy,A Room Design of Order 14, Canad. Math. Bull.11, 191–194 (1968). · doi:10.4153/CMB-1968-021-0
[8] A. Sade,Produit Direct-Singulier de Quasigroupes, orthogonaux et anti-abéliens, Ann. Soc. Sci. Bruxelles, Sér. I.74, 91–99 (1960). · Zbl 0100.02204
[9] S. K. Stein,On the Foundations of Quasigroups, Trans. Amer. Math. Soc.85, 228–256 (1957). · Zbl 0079.02402 · doi:10.1090/S0002-9947-1957-0094404-6
[10] Tina H. Straley,Construction of Steiner Quasigroups Containing a Specified Number of Subquasigroups of a Given Order, J. Combinatorial Theory, (to appear). · Zbl 0248.20092
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