Piroska Csörgö

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Buchsteiner loops are those which satisfy the identity x\(xy · z) = (y · zx)/x. We show that a Buchsteiner loop modulo its nucleus is an abelian group of exponent four, and construct an example where the factor achieves this exponent. A loop (Q, ·) is a set Q together with a binary operation · such that for each a, b ∈ Q, the equations a · x = b and y · a =(More)
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