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Every diassociative A-loop is Moufang
Authors:Michael K. Kinyon   Kenneth Kunen   J. D. Phillips
Affiliation:Department of Mathematics & Computer Science, Indiana University, South Bend, Indiana 46634 ; Department of Mathematics, University of Wisconsin, Madison, Wisconsin 57306 ; Department of Mathematics, Saint Mary's College of California, Moraga, California 94575
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.

Keywords:Diassociative loop   A-loop   Moufang loop
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