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Alternative rings with single-valued addition

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Abstract

The structure of nondegenerate alternative algebras with an essential semigroup identity is described. In addition, necessary and sufficient conditions are obtained in order that an alternative algebra, regular in the Neumann sense, be a ring with single-valued addition.

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Authors
  1. A. V. Mikhalev
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Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 16, pp. 218–226, 1992.

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Mikhalev, A.V. Alternative rings with single-valued addition. J Math Sci 69, 1092–1097 (1994). https://doi.org/10.1007/BF01254394

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