On Leibniz algebras with maximal cyclic subalgebras
Vasyli A. Chupordia, Leonid A. Kurdachenko, Igor Ya. Subbotin
TL;DR
This paper investigates the structure of Leibniz algebras that contain maximal cyclic subalgebras, aiming to understand their properties and classifications.
Contribution
It introduces a detailed analysis of Leibniz algebras with maximal cyclic subalgebras, providing new structural insights.
Findings
Characterization of Leibniz algebras with maximal cyclic subalgebras
Identification of structural properties related to cyclic subalgebras
Foundational results for further classification studies
Abstract
We begin to study the structure of Leibniz algebras having maximal cyclic subalgebras
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Algebra and Logic · Rings, Modules, and Algebras