k-Primitivity and images of primitive elements
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.15, sa.7, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 15 Sayı: 7
- Basım Tarihi: 2016
- Doi Numarası: 10.1142/s0219498816501267
- Dergi Adı: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Çukurova Üniversitesi Adresli: Evet
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.