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

• Fulltext

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

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

• Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 3
June 2019