bn:03105149n
Noun Concept
Categories: Composition algebras, Quadratic forms, Historical treatment of quaternions
EN
composition algebra  History of composition algebra  Multiplicative quadratic form  Para-Hurwitz algebra
EN
In mathematics, a composition algebra A over a field K is a not necessarily associative algebra over K together with a nondegenerate quadratic form N that satisfies N = N N {\displaystyle N=NN} for all x and y in A. A composition algebra includes an involution called a conjugation: x ↦ x ∗. Wikipedia
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EN
In mathematics, a composition algebra A over a field K is a not necessarily associative algebra over K together with a nondegenerate quadratic form N that satisfies N = N N {\displaystyle N=NN} for all x and y in A. A composition algebra includes an involution called a conjugation: x ↦ x ∗. Wikipedia
Not necessarily associative algebra Wikidata
A non-associative (not necessarily associative) algebra, A, over some field, together with a nondegenerate quadratic form, N, such that N(xy) = N(x)N(y) for all x, y ∈ A. Wiktionary
Type of nonassociative algebra. Wiktionary (translation)