Alternative rings of small order |
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| Authors: | Edgar G Goodaire |
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| Institution: | 1. Department of Mathematics and Statistics , Memorial University of Newfoundland , St. John’s, Newfoundland, A1C 5S7, Canada edgar@math.mun.ca |
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| Abstract: | We construct all the alternative (but not associative) algebras of dimension at most 5 over a perfect field. For any prime p, we show that there are fifteen alternative rings of prime power order pn ,n≤5, which are not associative. None of these rings is nil. Just one has a unity. |
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| Keywords: | Jordan superpairs Lie superalgebras Grids |
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