Local Derivations and Automorphisms of Direct Sum Null-Filiform Leibniz Algebras

Local Derivations and Automorphisms of Direct Sum Null-Filiform Leibniz Algebras

This paper is devoted to study local derivations and automorphism of some nilpotent Leibniz algebras. We prove that direct sum null-filiform nilpotent Leibniz algebras as a rule admit local derivations which are not derivations. Some results concerning local automorphisms direct sum null-filiform ni...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Lobachevskii journal of mathematics 2022-12, Vol.43 (12), p.3407-3413
Hauptverfasser: Adashev, J. Q., Yusupov, B. B.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Automorphisms
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:This paper is devoted to study local derivations and automorphism of some nilpotent Leibniz algebras. We prove that direct sum null-filiform nilpotent Leibniz algebras as a rule admit local derivations which are not derivations. Some results concerning local automorphisms direct sum null-filiform nilpotent Leibniz algebras are obtained.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080222150021