k-Primitivity and images of primitive elements


ÖĞÜŞLÜ N. Ş. , EKİCİ N.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.15, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 15 Konu: 7
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1142/s0219498816501267
  • Dergi Adı: JOURNAL OF ALGEBRA AND ITS APPLICATIONS

Özet

Let F-n be a free Lie algebra of finite rank n, n >= 2. We give another proof of the following criterion which is proven by Mikhalev and Zolotykh, using the idea of k-primitivity: An endomorphism of F-n preserving primitivity of elements is an automorphism.