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arXiv · 2605.29865

Descending Chain Conditions on Leibniz Algebras

Calvin Tcheka·Guy R. Biyogmam·Bell Bogmis N.·Batkam Mbatchou V. Jacky III
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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.

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Calvin Tcheka, Guy R. Biyogmam, Bell Bogmis N., Batkam Mbatchou V. Jacky III. 2026-05-28. Descending Chain Conditions on Leibniz Algebras. https://arxiv.org/abs/2605.29865

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