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arXiv · 2305.15530

Modularity conditions in Leibniz algebras

Pilar Páez-Guillán·Salvatore Siciliano·David A. Towers
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Abstract

In this paper we continue the study of the subalgebra lattice of a Leibniz algebra. In particular, we find out that solvable Leibniz algebras with an upper semi-modular lattice are either almost-abelian or have an abelian ideal spanned by the elements with square zero. We also study Leibniz algebras in which every subalgebra is a weak quasi-ideal, as well as modular symmetric Leibniz algebras.

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Pilar Páez-Guillán, Salvatore Siciliano, David A. Towers. 2023-05-24. Modularity conditions in Leibniz algebras. https://arxiv.org/abs/2305.15530

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