Algebraic properties of some varieties of central loops

Details Algebraic properties of some varieties of central loops Algebraic properties of some varieties of central loops

2007-07-10

arxiv.org/abs/0707.1444v2

Quasigroups And Related Systems, 2008, Vol. 16, No. 1, 37-54

Mathematics

General Mathematics

20 pages

Scientific paper

Isotopes of C-loops with unique non-identity squares are shown to be both
C-loops and A-loops. The relationship between C-loops and Steiner loops is
further studied. Central loops with the weak and cross inverse properties are
also investigated. C-loops are found to be Osborn loops if every element in
them are squares.

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