Automorphisms of free metabelian Leibniz algebras

Tas Adiyaman T., Ozkurt Z.

COMMUNICATIONS IN ALGEBRA, cilt.49, sa.10, ss.4348-4359, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 10
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1080/00927872.2021.1919690
  • 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.4348-4359
  • Anahtar Kelimeler: Automorphism, free metabelian Leibniz algebras, wreath product
  • Çukurova Üniversitesi Adresli: Evet

Özet

In this work, we represent free metabelian Leibniz algebras as the wreath product of abelian Leibniz algebras. We obtained an explicit matrix form for the IA-automorphisms of free metabelian Leibniz algebras of finite rank over a field K of characteristic zero. Then we describe a set of generators for the group of all automorphisms of the free metabelian Leibniz algebras of rank n.