Mathematics – Rings and Algebras
Scientific paper
2008-04-13
Mathematics
Rings and Algebras
8 pages
Scientific paper
Let $C(F)$ be a matrix Cayley-Dickson algebra over field $F$. By $M_0(F)$ we
denote the loop containing of all elements of algebra $C(F)$ with norm 1. It is
shown in this paper that with precision till isomorphism the loops
$M_0(F)/<-1>$ they and only they are simple non-associative Moufang loops,
where $F$ are subfields of algebraic closed field
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