Endomorphisms which preserve orbits of free metabelian Leibniz algebras
Communications in Algebra, cilt.52, sa.2, ss.566-571, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 52 Sayı: 2
- Basım Tarihi: 2024
- Doi Numarası: 10.1080/00927872.2023.2245888
- Dergi Adı: Communications in Algebra
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
- Sayfa Sayıları: ss.566-571
- Anahtar Kelimeler: Automorphism, free metabelian Leibniz algebras, orbit, test element
- Çukurova Üniversitesi Adresli: Evet
Özet
Let M be the free metabelian Leibniz algebra of rank two over a field K of characteristic 0. In this article, we show that an endomorphism of M which preserves the orbit of a nontrivial certain kind of element (Formula presented.) is an automorphism. Additionally, we give some test elements.