Test sets and test rank of a free metabelian Lie algebra

ESMERLIGIL Z. G., Ekici N.

COMMUNICATIONS IN ALGEBRA, vol.31, no.11, pp.5581-5589, 2003 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 11
  • Publication Date: 2003
  • Doi Number: 10.1081/agb-120023975
  • Journal Name: COMMUNICATIONS IN ALGEBRA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.5581-5589
  • Çukurova University Affiliated: Yes

Abstract

We prove that the test rank of a free metabelian Lie algebra L of rank n equals n(-1) and a test set of L belongs to the derived subalgebra of L.