Endomorphisms which preserve orbits of free metabelian Leibniz algebras

Adiyaman Taş T., Özkurt Z.

Communications in Algebra, cilt.52, sa.2, ss.566-571, 2024 (SCI-Expanded) identifier

  • 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.