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Subloops of indecomposable RA loops
Authors:Orin Chein  Edgar G Goodaire
Institution:(1) Temple University, Philadelphia, PA 19122, U.S.A.;(2) Memorial University of Newfoundland, St. John's, Newfoundland, Canada A1C 5S7
Abstract:Summary An RA loop is a (necessarily Moufang) loop whose loop rings in any characteristic are alternative, but not associative. There are seven classes of finite indecomposable RA loops. In this paper, we find the indecomposable subloops and the indecomposable nonabelian groups which can appear inside the loops in each class.
Keywords:Moufang loop  RA loop  loop ring  alternative ring
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