English

Zinbiel algebras are nilpotent

Rings and Algebras 2022-02-25 v1

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.

Keywords

Cite

@article{arxiv.2202.12026,
  title  = {Zinbiel algebras are nilpotent},
  author = {David A. Towers},
  journal= {arXiv preprint arXiv:2202.12026},
  year   = {2022}
}

Comments

arXiv admin note: text overlap with arXiv:2202.03214

R2 v1 2026-06-24T09:52:22.084Z