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In this paper, we study the derivations and automorphisms of a class of algebras \( A \) satisfying the polynomial identity \( 2x^2x^4=\omega (x)^2x^4+\omega (x)^4x^2\) . We have characterised the derivations of this class of non-associative algebras using the Peirce decomposition with respect to a non-zero idempotent. Some examples are described in dimension four. For automorphisms, the study is carried out in the case where certain Peirce spaces are assumed to be zero.

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Derivations and Automorphisms of Algebras Satisfying an Identity of Degree Six

  • 会议论文

  • 发表日期：

    2026年

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  • Daouda Kabre,
  • Abdoulaye Dembega,
  • Souleymane Savadogo,
  • André Conseibo

摘要

In this paper, we study the derivations and automorphisms of a class of algebras \( A \) satisfying the polynomial identity \( 2x^2x^4=\omega (x)^2x^4+\omega (x)^4x^2\) . We have characterised the derivations of this class of non-associative algebras using the Peirce decomposition with respect to a non-zero idempotent. Some examples are described in dimension four. For automorphisms, the study is carried out in the case where certain Peirce spaces are assumed to be zero.