k-Primitivity and images of primitive elements


ÖĞÜŞLÜ N. Ş. , EKİCİ N.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, vol.15, no.7, 2016 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 7
  • Publication Date: 2016
  • Doi Number: 10.1142/s0219498816501267
  • Title of Journal : JOURNAL OF ALGEBRA AND ITS APPLICATIONS

Abstract

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.