Lattice isomorphisms of Leibniz algebras

Towers, David (2021) Lattice isomorphisms of Leibniz algebras. Journal of Algebra, 578. pp. 421-432. ISSN 0021-8693

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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.

Item Type:

Journal Article

Journal or Publication Title:

Journal of Algebra

Additional Information:

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

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600/2602

Subjects:

?? lie algebrasleibniz algebrascyclicsimplesemisimplesolvablesupersolvablenilpotentlattice isomorphismalgebra and number theory ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

171170

Deposited By:

ep_importer_pure

Deposited On:

01 Jun 2022 14:55

Refereed?:

Yes

Published?:

Published

Last Modified:

28 Oct 2024 01:33

URI:

https://eprints.lancs.ac.uk/id/eprint/171170