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Every diassociative A-loop is Moufang

Michael K. Kinyon, Kenneth Kunen, J. D. Phillips

math.GRarXiv:math/0007195

Abstract

An A-loop is a loop in which every inner mapping is an automorphism. We settle a problem which had been open since 1956 by showing that every diassociative A-loop is Moufang.

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