Descending Chain Conditions on Leibniz Algebras
math.RA2026-05v1license
Abstract
In this work, we introduce a new class of Leibniz algebras, called quasi-Artinian Leibniz algebras, which generalizes the minimal condition on ideals. Furthermore, we provide some characterizations and give conditions under which a quasi-Artinian Leibniz algebra is Artinian. Finally, within the framework of Leibniz algebras, we establish a connection between prime ideals and the quasi-Artinian structure.
Cite
@article{arxiv.2605.29865,
title = {Descending Chain Conditions on Leibniz Algebras},
author = {Calvin Tcheka and Guy R. Biyogmam and Bell Bogmis N. and Batkam Mbatchou V. Jacky},
journal= {arXiv preprint arXiv:2605.29865},
year = {2026}
}