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    • Keywords


      Automorphism; free Lie algebras; test elements; test sets; test rank.

    • Abstract


      Let 𝐹 be a free Lie algebra of rank $n\geq 2$ and 𝐴 be a free abelian Lie algebra of rank $m\geq 2$. We prove that the test rank of the abelian product $F\times A$ is 𝑚. Morever we compute the test rank of the algebra $F/\gamma k(F)'$.

    • Author Affiliations


      Naime Ekici1 Nazar Şahin Öğüşlü1

      1. Department of Mathematics, Çukurova University, Adana, Turkey
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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