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


Eskal C., EKİCİ N.

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, vol.126, no.1, pp.43-48, 2016 (SCI-Expanded) identifier identifier

Abstract

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.