The classification of naturally graded Zinbiel algebras with characteristic sequence equal to $(n-p,p).$

TL;DR

This paper classifies naturally graded Zinbiel algebras with a specific characteristic sequence, advancing the understanding of their structure within the realm of nilpotent Zinbiel algebras.

Contribution

It provides a complete classification of naturally graded Zinbiel algebras with characteristic sequence $(n-p,p)$, focusing on gradation and nilpotency restrictions.

Findings

Classification of Zinbiel algebras with characteristic sequence $(n-p,p)$

Identification of structural properties of these algebras

Extension of previous nilpotent Zinbiel algebra studies

Abstract

This work is a continuation of the description of some classes of nilpotent Zinbiel algebras. We focus on the study of Zinbiel algebras with restrictions to gradation and characteristic sequence. Namely, the classification of naturally graded Zinbiel algebras with characteristic sequence equal to $ (n-p, p)$ is obtained.