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Journal of Generalized Lie Theory and Applications

ISSN: 1736-4337

Open Access

AO Abdulkareem

Department of Mathematics and Computer, University of Africa Toru Orua, Bayelsa State, Nigeria

Publications
  • Mini Thesis   
    Construction of Right Cheban Loops of Small Order
    Author(s): AI Chinaka*, AO Abdulkareem and JO Adenıran

    In this study, we give constructions of right cheban loops of order 4t, using a multiplication defined on cartesian product of (C2t X C2) where C2t is a cyclic group of order 2t, t is a positive integer: 3,4 and 6 and C2 is a cyclic group of order 2, each gives a right cheban loop of orders 12, 16 and 24. It was found that smallest non-associative right cheban loop is of order 12 and finite examples of right cheban loops of orders 12,16 and 24 are generated as shown in the cayley tables... Read More»
    DOI: DOI: 10.37421/1736-4337.2022.16.337

    Abstract HTML PDF

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