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Perpendicularly separable quasigroups

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Literature cited

  1. D. Steedley, “Separable quasigroups,” Aequationes Math.,14 (1976).

  2. C. C. Lindner and N. S. Mendelsohn, “Construction of perpendicular Steiner quasigroups,” Aequationes Math.,9, 150–156 (1973).

    Google Scholar 

  3. N. S. Mendelsohn, “Combinatorial designs as models of universal algebra,” in: Recent Progress in Combinatorics, Proceedings of the 3rd Waterloo Conference on Combinatorics, 1968, Academic Press, New York (1969).

    Google Scholar 

  4. N. S. Mendelsohn, “Perfect cyclic designs,” Discrete Math.,20, 63–68 (1977).

    Google Scholar 

  5. A. D. Keedwell, “Uniform P-circuit designs, quasigroups and Room squares,” Utilitas Math.,14, 141–159 (1978).

    Google Scholar 

  6. C. C. Lindner, “On the construction of cyclic quasigroups,” Discrete Math.,6, 149–158 (1973).

    Google Scholar 

  7. N. S. Mendelsohn and C. C. Lindner, “Construction of n-cyclic quasigroups and applications,” Aequationes Math.,14, (1976).

  8. Bruck, “What is a loop?” in: Studies in Modern Algebra, Math. Assoc. of America and Prentice-Hall (1963), Chap. 4, pp. 59–99.

  9. R. S. Mullin and W. D. Wallis, “The existence of Room squares,” Aequationes Math.,13, 1–7 (1975).

    Google Scholar 

  10. I. R. Beeman and W. D. Wallis, “On the skew Room squares,” in: Lecture Notes Math.,622 (1977), pp. 61–63.

    Google Scholar 

  11. B. T. Rumov, “On the existence of solvable block schemes,” Mat. Sb.,99, No. 3, 366–379 (1976).

    Google Scholar 

  12. B. T. Rumov, “On constructing block schemes of the elements of the ring of classes modulo a nonprime number,” Mat. Zametki,10, No. 6, 649–658 (1971).

    Google Scholar 

  13. G. B. Belyavskaya, “r-Orthogonal quasigroups I,” in: Nets and Quasigroups [in Russian], Shtiintsa, Kishinev (1976), pp. 32–39.

    Google Scholar 

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Authors and Affiliations

  1. V. A. Steklov Mathematics Institute, Academy of Sciences of the USSR, USSR

    B. T. Rumov

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  1. B. T. Rumov
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Translated from Matematicheskie Zametki, Vol. 31, No. 4, pp. 527–538, April, 1982.

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Rumov, B.T. Perpendicularly separable quasigroups. Mathematical Notes of the Academy of Sciences of the USSR 31, 267–273 (1982). https://doi.org/10.1007/BF01138935

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