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Structure of nondegenerate alternative algebras

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Abstract

The construction of nearly classical localization is presented, on the basis of which the structure of nondegenerate alternative algebras is described by means of the theory of orthogonally complete algebraic systems. As a consequence, it is shown that a nondegenerate alternative algebra either is associative or contains a Cayley-Dickson subring. Quotient algebras of nondegenerate alternative algebras by prime ideals are nondegenerate.

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Authors
  1. K. I. Beidar
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  2. A. V. Mikhalev
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Additional information

Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 12, pp. 59–74, 1987.

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Beidar, K.I., Mikhalev, A.V. Structure of nondegenerate alternative algebras. J Math Sci 47, 2525–2536 (1989). https://doi.org/10.1007/BF01102996

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  • DOI: https://doi.org/10.1007/BF01102996

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