PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, cilt.121, sa.3, ss.291-300, 2011 (SCI-Expanded)
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.