The test rank of a solvable product of free abelian Lie algebras


ÖĞÜŞLÜ N. Ş., EKİCİ N.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, vol.18, no.2, 2019 (SCI-Expanded) identifier identifier

Abstract

Let L be the lth solvable product of free abelian Lie algebras of finite rank. We prove that the test rank of L is one less than the number of the factors. We also give a test set for endomorphisms of L.