When is an L(B, m, n, r, s, t, z, w) loop SRAR? |
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Authors: | O. Chein E. G. Goodaire |
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Affiliation: | 1. Temple University, 19122, Philadelphia, PA, USA 2. Memorial University of Newfoundland, A1C5S7, St. John’s, Newfoundland, Canada
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Abstract: | In [5, 6], the second author and D. A. ROBINSON initiated a study of non-Moufang Bol loops with the property that over a field, necessarily of characteristic 2, their loop rings satisfy the right, but not the left, Bol identity. They called such loops SRAR and showed that the family of SRAR loops includes those Bol loops which have a unique non-identity commutator/associator. In [4, 2], the current authors presented a construction for a new class of Bol loops denoted L(B,m,n,r,s,t,z,w) with initial data a given (possibly associative) Bol loop B, elements, r, s, t, z and w in the centre of B, and integers m and n. |
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