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Isotopes of some special quasigroup varieties. (English) Zbl 0226.20078


MSC:

20N05 Loops, quasigroups
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References:

[1] J. Aczél, Quasigroups, Nets and Nomograms,Advances in Mathematics, Vol. 1. Edited by Herbert Busemann, New York: Academic Press, 1965, pp. 383–450.
[2] J. Aczél, V. Belousov andM. Hosszú. Generalized Associativity and Bisymmetry on Quasigroups,Acta Math. Acad. Sci. Hung.,11 (1960) pp. 127–136. · Zbl 0090.24301
[3] V. Belousov, Balanced Identities in Quasigroups,Mat. Sb. (N. S.),70, (1966), pp. 55–97. · Zbl 0199.05203
[4] R. Bruck, A Survey of Binary Systems, Berlin-Göttingen-Heidelberg, Springer Verlag, 1958.
[5] T. Evans, A Note on the Associative Law,J. London Math. Soc.,25, (1950) pp. 196–201. · Zbl 0039.01501
[6] T. Evans, Identical Relations in Loops I., submitted for publication.
[7] T. Evans, On Multiplicative Systems Defined by Generators and Relations 1. Normal Form Theorems,Proc. Cambridge Philos. Soc.,47, (1951), pp. 637–649. · Zbl 0043.02001
[8] A. Sade, Quasigroupes obéissant à certain lois,Rev. Pac. Sci. Univ. Istanbul, Ser. A22 (1957) pp. 151–184.
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