Isomorphisms of integral alternative loop rings |
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| Authors: | Edgar G. Goodaire Cesar Polcino Milies |
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| Affiliation: | 1. Department of Mathematics and Statistics, Memorial University of Newfoundland, A1C SS7, St. John's, Newfoundland, Canada
2. Instituto de Matemática e Estatística, Universidade de S?o Paulo, S?o Paulo, Brasil
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| Abstract: | This paper first settles the “isomorphism problem” for alternative loop rings; namely, it is shown that a Moufang loop whose integral loop ring is alternative is determined up to isomorphism by that loop ring. Secondly, it is shown that every normalized automorphism of an alternative loop ringZ L is the product of an inner automorphism ofQ L and an authomorphism ofL. |
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