division algebra

(redirected from Associative division algebra)

division algebra

[də′vizh·ən ‚al·jə·brə]
(mathematics)
A hypercomplex system that is also a skew field.
References in periodicals archive ?
If D is a finite-dimensional associative division algebra over k, then D = k, and Aut(D) = Out(D) = {[Id.
By the well-known theorem of Frobenius, there are 3 iso-classes of finite-dimensional associative division algebras over R, namely, R itself, complex numbers C, and quaternions H.

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