Test elements of direct sums and free products of free Lie algebras

Proceedings Mathematical Sciences

Naime Ekici¹  Cennet Eskal² 

[1] Department of Mathematics, Çukurova University, 00 Adana, Turkey$$;Department of Mathematics, Osmaniye Korkut Ata University, 0000 Osmaniye, Turkey$$

关键词: Test elements;    free product;    free Lie algebra.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We give a characterization of test elements of a direct sum of free Lie algebras in terms of test elements of the factors. In addition, we construct certain types of test elements and we prove that in a free product of free Lie algebras, product of the homogeneous test elements of the factors is also a test element.

【 授权许可】

Unknown