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

Proceedings Mathematical Sciences

Naime Ekici²  Nazar Åžahin Öğüşlü¹ 

[1] $$;Department of Mathematics, Çukurova University, Adana, Turkey$$

关键词: Automorphism;    free Lie algebras;    test elements;    test sets;    test rank.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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

【 授权许可】

Unknown