k-Primitivity and images of primitive elements

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Atıf İçin Kopyala

ÖĞÜŞLÜ N. Ş., EKİCİ N.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.15, sa.7, 2016 (SCI-Expanded)

• 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.