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Shape identities in train algebras of rank 3

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Abstract

Shape identities are certain multilinear nonassociative polynomials. In this paper we derive some properties of train algebras of rank 3 which satisfy some shape identity of degree at most 5.

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Authors and Affiliations

  1. Universidade de São Paulo Instituto de Matemática e Estatística, Caixa Postal 66281, 05315-970, São Paulo —, Brazil

    R. Costa & H. Guzzo Jr.

  2. Departamento de Matemáticas, Universidad de León Campus de Vegazana, 24071, León —, Spain

    P. Vicente

Authors
  1. R. Costa
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  2. H. Guzzo Jr.
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  3. P. Vicente
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Corresponding author

Correspondence to R. Costa.

Additional information

Sponsored by CNPq of Brazil, proc. 300645/93-7 and FAPESP proc. 95/5255-7.

Part of this paper was written while this author was visiting the University of Oviedo — Spain. Sponsored by FAPESP, proc. 94/2247-0.

Partially supported by DGICYT, PB94-1311-C03-01.

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Costa, R., Guzzo, H. & Vicente, P. Shape identities in train algebras of rank 3. Results. Math. 35, 32–43 (1999). https://doi.org/10.1007/BF03322021

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