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On Identities in Algebras Q n,λ Generated by Idempotents

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Ukrainian Mathematical Journal Aims and scope

Abstract

We investigate the presence of polynomial identities in the algebras Q n,λ generated by n idempotents with the sum λe (λ∈\({\mathbb{C}}\) and e is the identity of an algebra). We prove that Q 4,2 is an algebra with the standard polynomial identity F 4, whereas the algebras Q 4,λ, λ ≠ 2, and Q n,λ, n ≥ 5, do not have polynomial identities.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    V. I. Rabanovich, Yu. S. Samoilenko & A. V. Strelets

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  1. V. I. Rabanovich
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  2. Yu. S. Samoilenko
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  3. A. V. Strelets
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Rabanovich, V.I., Samoilenko, Y.S. & Strelets, A.V. On Identities in Algebras Q n,λ Generated by Idempotents. Ukrainian Mathematical Journal 53, 1673–1687 (2001). https://doi.org/10.1023/A:1015295927440

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  • DOI: https://doi.org/10.1023/A:1015295927440

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