Zinbiel algebras are nilpotent

2022/02/24 by Towers, David A. · 1 citation
#17A32 #17B05 #17B20 #17B30 #17B50 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2202.12026

Abstract

In this paper we show that every finite-dimensional Zinbiel algebra over an arbitrary field is nilpotent, extending a previous result by other authors that they are solvable.

Cited by

• On Zinbiel and Tortkara superalgebras

Related

• Zinbiel superalgebras
• Abelian subalgebras and ideals of maximal dimension in Zinbiel algebras
• p-filiform Zinbiel algebras
• Nil algebras with restricted growth
• Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras