e/Octonion algebra

Information
has gloss	eng: In mathematics, an octonion algebra over a field F is an algebraic structure which is an 8-dimensional composition algebra over F. In other words, it is a unital nonassociative algebra A over F with a nondegenerate quadratic form N (called the norm form) such that :N(xy) = N(x)N(y) for all x and y in A.
lexicalization	eng: octonion algebra
instance of	e/Algebra over a field