Every diassociative A-loop is Moufang

Kinyon, Michael; Kunen, Kenneth; Phillips, J.

doi:10.1090/S0002-9939-01-06090-7

Every diassociative A-loop is Moufang
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by Michael K. Kinyon, Kenneth Kunen and J. D. Phillips PDF

Proc. Amer. Math. Soc. 130 (2002), 619-624 Request permission

Abstract:

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

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