English

p-filiform Zinbiel algebras

Rings and Algebras 2012-04-11 v1

Abstract

The paper deals with the classification of a subclass of finite-dimensional Zinbiel algebras: the naturally graded p-filiform Zinbiel algebras. A Zinbiel algebra is the dual to Leibniz algebra in Koszul sense. We prove that there exists, up to isomorphism, only one family of naturally graded p-filiform Zinbiel algebras under hypothesis np4.n-p \geq 4.

Keywords

Cite

@article{arxiv.1204.2051,
  title  = {p-filiform Zinbiel algebras},
  author = {L. M. Camacho and E. M. Cañete and S. Gómez-Vidal and B. A. Omirov},
  journal= {arXiv preprint arXiv:1204.2051},
  year   = {2012}
}

Comments

12 pages

R2 v1 2026-06-21T20:47:05.831Z