×

Isotopy invariants in quasigroups. (English) Zbl 0209.04701


MSC:

20N02 Sets with a single binary operation (groupoids)
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] J. Aczél, Quasigroups, nets, and nomograms, Advances in Math. 1 (1965), no. fasc. 3, 383 – 450. · Zbl 0135.03601
[2] J. Aczél, V. D. Belousov, and M. Hosszú, Generalized associativity and bisymmetry on quasigroups, Acta Math. Acad. Sci. Hungar. 11 (1960), 127 – 136 (English, with Russian summary). · Zbl 0090.24301
[3] A. A. Albert, Quasigroups. I, Trans. Amer. Math. Soc. 54 (1943), 507 – 519. · Zbl 0063.00039
[4] V. D. Belousov, Balanced identities in quasigroups, Mat. Sb. (N.S.) 70 (112) (1966), 55 – 97 (Russian). · Zbl 0199.05203
[5] V. D. Belousov and V. V. Ryžkov, On a method of obtaining closure figures, Mat. Issled. 1 (1966), no. vyp. 2, 140 – 150 (Russian). · Zbl 0226.20074
[6] 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
[7] Richard H. Bruck, Some results in the theory of quasigroups, Trans. Amer. Math. Soc. 55 (1944), 19 – 52. · Zbl 0063.00635
[8] T. Evans, A note on the associative law, J. London Math. Soc. 25 (1950), 196 – 201. · Zbl 0039.01501
[9] -, Identical relations in loops. I, Austral. J. Math. (to appear). · Zbl 0219.20053
[10] -, Identical relations in loops. II (in preparation). · Zbl 0219.20053
[11] Trevor Evans, On multiplicative systems defined by generators and relations. I. Normal form theorems, Proc. Cambridge Philos. Soc. 47 (1951), 637 – 649. · Zbl 0043.02001
[12] J. Marshall Osborn, Loops with the weak inverse property, Pacific J. Math. 10 (1960), 295 – 304. · Zbl 0091.02101
[13] Albert Sade, Demosian systems of quasigroups, Amer. Math. Monthly 68 (1961), 329 – 337. · Zbl 0099.01003
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.