Work

On an analogue of Schur's theorem for Leibniz $n$-algebras

Year: 2025

Type: article

Abstract: In this paper, we investigate relationships between certain important subalgebras of Leibniz $n$-algebras. In particular, we establish a close connection between the central factor-algebra of a Leibniz $n$-algebra and its derived ideal. As an application, we prove an analogue of the classical group-theoretic Schur's theorem for Leibniz $n$-algebras. The obtained results continue a long line of research on Schur-type theorems in various algebraic structures and generalize known related results from the theories of Leibniz algebras and Lie algebras.

Source: Researches in Mathematics

DOI: 10.15421/242529

Authors: A.V. Petrov, O.O. Pypka, I.V. Shyshenko

Institutions: Oles Honchar Dnipro National University, Sumy State Pedagogical University named after A. S. Makarenko

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $20

OpenAlex ID: W7127495289

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