Test rank of F/R ' Lie algebras

WOS: 000240961500008Let F be a free Lie algebra of finite rank n and R be an ideal of F such that the universal enveloping algebra U(F/R) for F/R is an integral domain satisfying the Ore condition. We show that test rank for the Lie algebras of the form F/R' is equal to n - 1 or n

Test rank of F/R' Lie algebras

Let F be a free Lie algebra of finite rank n and R be an ideal of F such that the universal enveloping algebra U(F/R) for F/R is an integral domain satisfying the Ore condition. We show that test rank for the Lie algebras of the form F/R' is equal to n -1 or n. © World Scientific Publishing Company