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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/121/03/0291-0300

    • 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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