TEST RANK OF THE LIE ALGEBRA F/[R ', F]


Oguslu N. Ş.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.13, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 13 Konu: 4
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1142/s0219498813501223
  • Dergi Adı: JOURNAL OF ALGEBRA AND ITS APPLICATIONS

Özet

Let F be a free Lie algebra of rank n >= 2 and R be a fully invariant ideal of F. We show that the test rank of the Lie algebra F/[R ', F] is equal to 1 when n is even and less than or equal to 2 when n is odd.