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A167654
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Simple zero-divisors of Cayley-Dickson algebras
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0
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OFFSET
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0,5
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COMMENTS
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Zero divisors of the form e+f where e and f are units of the Cayley-Dickson algebra with 2^n elements.
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LINKS
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Joerg Arndt, List of simple zero-divisors of the sedenions.
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EXAMPLE
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There are no zero-divisors for reals (n=0), complex numbers (n==1), quaternions (n=2), and octonions (n=3). For the sedenions there are 42 sums of two units that are zero divisors. For example ( 1 + 10 ) * ( 5 + 14 ) is zero, so (1+10) is a simple zero divisor (writing k for the k-th unit, starting with 0).
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CROSSREFS
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KEYWORD
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more,nonn
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AUTHOR
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STATUS
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approved
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