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Isotopy of abelian quasigroups. (English) Zbl 0328.20066


MSC:

20N05 Loops, quasigroups
20K99 Abelian groups
22A99 Topological and differentiable algebraic systems
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[1] J. Aczél, Lectures on functional equations and their applications, Mathematics in Science and Engineering, Vol. 19, Academic Press, New York-London, 1966. Translated by Scripta Technica, Inc. Supplemented by the author. Edited by Hansjorg Oser. · Zbl 0139.09301
[2] Richard Hubert Bruck, A survey of binary systems, Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge, Heft 20. Reihe: Gruppentheorie, Springer Verlag, Berlin-Göttingen-Heidelberg, 1958. · Zbl 0081.01704
[3] Phullendu Das, A note on homotopy and isotopy of topological groupoids, Progr. Math. (Allahabad) 1 (1967), no. 2, 20 – 27. · Zbl 0183.02202
[4] -, Topological quasigroups, Ph.D. Thesis, Univ. of Calcutta, 1968.
[5] Karl Heinrich Hofmann, Topologische Loops, Math. Z. 70 (1958), 13 – 37 (German). · Zbl 0095.02701 · doi:10.1007/BF01558574
[6] D. C. Murdoch, Quasi-Groups Which Satisfy Certain Generalized Associative Laws, Amer. J. Math. 61 (1939), no. 2, 509 – 522. · Zbl 0020.34702 · doi:10.2307/2371517
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