Subloops of indecomposable RA loops |
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Authors: | Orin Chein Edgar G Goodaire |
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Institution: | (1) Temple University, Philadelphia, PA 19122, U.S.A.;(2) Memorial University of Newfoundland, St. John's, Newfoundland, Canada A1C 5S7 |
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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. |
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Keywords: | Moufang loop RA loop loop ring alternative ring |
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