alternative algebra

(redirected from Artin's theorem)

alternative algebra

[ȯl¦tər·nəd·iv ′al·jə·brə]
(mathematics)
A nonassociative algebra in which any two elements generate an associative algebra.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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For the proof of (1) it is sufficient to show K = [L.sup.[Gamma]] by Artin's theorem (see [17, Chapter 8, Theorem 1.8]).