Algebraic properties of some varieties of central loops
General Mathematics
2008-05-05 v2
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
@article{arxiv.0707.1444,
title = {Algebraic properties of some varieties of central loops},
author = {Temitope Gbolahan Jaiyeola and John Olushola Adeniran},
journal= {arXiv preprint arXiv:0707.1444},
year = {2008}
}
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20 pages