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Almost primitive elements of free nonassociative (anty)commutative algebras of small rank

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Abstract

Criteria for homogeneous elements to be almost primitive are obtained and algorithms to recognize homogeneous almost primitive elements are constructed for free nonassociative commutative and anticommutative algebras of rank 1 and 2.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    A. V. Klimakov

Authors
  1. A. V. Klimakov
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Original Russian Text © A.V. Klimakov, 2012, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2012, Vol. 67, No. 5, pp. 19–24.

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Klimakov, A.V. Almost primitive elements of free nonassociative (anty)commutative algebras of small rank. Moscow Univ. Math. Bull. 67, 206–210 (2012). https://doi.org/10.3103/S002713221205004X

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  • DOI: https://doi.org/10.3103/S002713221205004X

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