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  • Lattice isomorphisms of Leibniz algebras

    Rights statement: This is the author’s version of a work that was accepted for publication in Journal of Algebra. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Algebra, 578, 421-423, 2022 DOI: 10.1016/j.jalgebra.2021.03.012

    Accepted author manuscript, 232 KB, PDF document

    Available under license: CC BY: Creative Commons Attribution 4.0 International License

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Lattice isomorphisms of Leibniz algebras

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published
<mark>Journal publication date</mark>15/07/2021
<mark>Journal</mark>Journal of Algebra
Volume578
Number of pages12
Pages (from-to)421-432
Publication StatusPublished
<mark>Original language</mark>English

Abstract

Leibniz algebras are a non-anticommutative version of Lie algebras. They play an important role in different areas of mathematics and physics and have attracted much attention over the last thirty years. In this paper we investigate whether conditions such as being a Lie algebra, cyclic, simple, semisimple, solvable, supersolvable or nilpotent in such an algebra are preserved by lattice isomorphisms.

Bibliographic note

This is the author’s version of a work that was accepted for publication in Journal of Algebra. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Algebra, 578, 421-423, 2022 DOI: 10.1016/j.jalgebra.2021.03.012