Test rank of an abelian product of a free Lie algebra and a free abelian Lie algebra


EKİCİ N., ÖĞÜŞLÜ N. Ş.

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, vol.121, no.3, pp.291-300, 2011 (SCI-Expanded) identifier identifier

Abstract

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 xA is m. Morever we compute the test rank of the algebra.