Articles written in Proceedings – Mathematical Sciences
Volume 121 Issue 3 August 2011 pp 291-300
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 $F/\gamma k(F)'$.
Volume 121 Issue 4 November 2011 pp 405-416
Let 𝐿 be a free metabelian Lie algebra of finite