0 Ju l 2 00 7 Algebraic properties of some varieties of central loops ∗ †

  • láhàn Jaiyéo. lá, John Olúso, lá Adéńıran

Abstract

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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Cite this paper

@inproceedings{l0JL, title={0 Ju l 2 00 7 Algebraic properties of some varieties of central loops ∗ †}, author={l{\'a}h{\`a}n Jaiy{\'e}o. l{\'a} and John Ol{\'u}so and l{\'a} Ad{\'e}ńıran} }