Test rank of F/R ' Lie algebras


ESMERLIGIL Z. , KAHYALAR D., Ekici N.

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, cilt.16, ss.817-825, 2006 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 16 Konu: 4
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1142/s0218196706003207
  • Dergi Adı: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION
  • Sayfa Sayıları: ss.817-825

Özet

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.