×

Loops which are cyclic extensions of their nuclei. (English) Zbl 0488.20057


MSC:

20N05 Loops, quasigroups
PDF BibTeX XML Cite
Full Text: Numdam EuDML

References:

[1] V.D. Belousov : Foundations of the theory of quasigroups and loops (Russian), Izdat . ”Nauka”, Moskow, 1967.
[2] R.H. Bruck : A survey of binary systems , Springer-Verlag, 1958. · Zbl 0141.01401
[3] R.P. Burn : Finite Bol loops , Math. Proc. Cambridge Philos. Soc. 84 (1978), no 3, 377-385. · Zbl 0385.20043
[4] Orin Chein : Moufang loops of small order I ., Trans. Amer. Math. Soc. 188 (1974) 31-51. · Zbl 0286.20088
[5] Edgar G. Goodaire and D.A. Robinson : A class of loops which are isomorphic to all loop isotopes , submitted. · Zbl 0467.20052
[6] Marshall Hall , Jr.: The theory of groups , Macmillan, 1959. · Zbl 0084.02202
[7] Harald Niederreiter and KAR L.H. Robinson : Bol loops of order pq , to appear. · Zbl 0463.20050
[8] J. Marshall Osborn : Loops with the weak inverse property , Pacific J. Math. 10 (1960) 295-304. · Zbl 0091.02101
[9] D.A. Robinson : Bol loops , Trans. Amer. Math. Soc. 123 (1966) 341-354. · Zbl 0163.02001
[10] Eric L. Wilson : A class of loops with the isotopy-isomorphy property , Canad. J. Math. 18 (1966) 589-592. · Zbl 0139.24702
[11] Robert L. Wilson , Jr.: (a) Loop isotopism and isomorphism and extensions of universal algebras , Ph.D. Thesis, University of Wisconsin, Madison, 1969.(b) Isotopy-isomorphy loops of prime order , J. Algebra 31 (1974) 117-119.(c) Quasidirect products of quasigroups , Comm. Algebra 3(9) (1975) 835-850. · Zbl 0328.20067
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.