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arXiv · 0707.1444

Algebraic properties of some varieties of central loops

Temitope Gbolahan Jaiyeola·John Olushola Adeniran
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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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Temitope Gbolahan Jaiyeola, John Olushola Adeniran. 2008-05-05. Algebraic properties of some varieties of central loops. https://arxiv.org/abs/0707.1444

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