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Some Special Conjugacy Closed Loops

Published online by Cambridge University Press:  20 November 2018

Edgar G. Goodaire  and
D. A. Robinson
Edgar G. Goodaire
Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland AlC 5S7, Canada
D. A. Robinson
Affiliation:
School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332, U.S.A.
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Abstract

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Some equationally defined classes of loops are identified and characterized among a class of loops which are isomorphic to all of their loop isotopes.

Keywords

20N05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 1 , 01 March 1990 , pp. 73 - 78
Copyright
Copyright © Canadian Mathematical Society 1990

References

1. Belousov, V. D., Foundations of the theory of quasigroups and loops (Russian), Izdat. “Nauka“ (Moscow, 1967).Google Scholar
2. Bruck, R. H., A survey of binary systems (Springer-Verlag, Berlin and New York, 1958).Google Scholar
3. Chein, Orin and Pflugfelder, H., On maps x → xn and the isotopy-isomorphy property of Moufang 3. Orin Chein and Pflugfelder, H., On maps x → xn and the isotopy-isomorphy property of Moufang loops, Aequationes Math. 6 (1971), pp. 157-161.Google Scholar
4. Fenyves, Ferenc, Extra loops I., Publ. Math. Debrecen 15 (1968), pp. 235–238.Google Scholar
5. Goodaire, Edgar G. and Robinson, D. A., A class of loops which are isomorphic to all loop isotopes, Can. J. Math. 34 (1982), pp. 662–672.Google Scholar
6. Osborn, J. Marshall, Loops with the weak inverse property, Pacific J. Math. 10 (1960), pp. 295–304.Google Scholar
7. Robinson, D. A., A Bol loop isomorphic to all loop isotopes, Proc. Amer. Math. Soc. 19 (1968), pp. 671–672.Google Scholar
8. Wilson, Eric L., A class of loops with the isotopy-isomorphy property, Can. J. Math. 18 (1966), pp. 589–592.Google Scholar