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On maps \(x \to x^ n\) and the isotopy-isomorphy property of Moufang loops. (English) Zbl 0222.20021


MSC:

20N05 Loops, quasigroups
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References:

[1] Basarab, A. S.,On a Class of G-Loops (Russian), Mat. Issled.3, vyp. 2, 3–24 (1968). · Zbl 0248.20090
[2] Belousov, V. D.,Foundations of the Theory of Quasigroups and Loops (Russian), (Izdat. Nauka, Moscow 1967). · Zbl 0229.20075
[3] Bruck, R. H.,A Survey of Binary Systems (Springer Verlag, Berlin–Göttingen–Heidelberg 1958 [Ergebnisse der Mathematik und ihrer Grenzgebiete, Neue Folge, Heft 20]). · Zbl 0081.01704
[4] Bruck, R. H.,Some Theorems on Moufang Loops, Math. Z.73, 59–78 (1960). · Zbl 0099.25103 · doi:10.1007/BF01163269
[5] Pflugfelder, H. O.,A Special Class of Moufang Loops, Proc. Amer. Math. Soc.21, 583–586 (1970). · Zbl 0223.20081 · doi:10.1090/S0002-9939-1970-0265498-1
[6] Vrabie, I. A.,On Isotopy-isomorphism Problem for Moufang Loops, Studies in General Algebra, I. (Russian), (Kishinev. Gos. Univ., Kishinev, 1968).
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