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

作者：Eskal Cennet; Ekici Naime^*

来源：Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2016, 126(1): 43-48.

DOI：10.1007/s12044-015-0259-y

• Test elements
• free product
• free Lie algebra

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.

• 出版日期2016-2