• Naime Ekici

Articles written in Proceedings – Mathematical Sciences

• Test Rank of an Abelian Product of a Free Lie Algebra and a Free Abelian Lie Algebra

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 $F/\gamma k(F)'$.

• Fixed Points of $IA$-Endomorphisms of a Free Metabelian Lie Algebra

Let 𝐿 be a free metabelian Lie algebra of finite rank at least 2. We show the existence of non-trivial fixed points of an $IA$-endomorphism of 𝐿 and give an algorithm detecting them. In particular, we prove that the fixed point subalgebra Fix 𝜑 of an $IA$-endomorphism 𝜑 of 𝐿 is not finitely generated.

• # Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 5
November 2019

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019