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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

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Lattice isomorphisms of Leibniz algebras

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

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Lattice isomorphisms of Leibniz algebras. / Towers, David.
In: Journal of Algebra, Vol. 578, 15.07.2021, p. 421-432.

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

Harvard

Towers, D 2021, 'Lattice isomorphisms of Leibniz algebras', Journal of Algebra, vol. 578, pp. 421-432. https://doi.org/10.1016/j.jalgebra.2021.03.012

APA

Towers, D. (2021). Lattice isomorphisms of Leibniz algebras. Journal of Algebra, 578, 421-432. https://doi.org/10.1016/j.jalgebra.2021.03.012

Vancouver

Towers D. Lattice isomorphisms of Leibniz algebras. Journal of Algebra. 2021 Jul 15;578:421-432. doi: 10.1016/j.jalgebra.2021.03.012

Author

Towers, David. / Lattice isomorphisms of Leibniz algebras. In: Journal of Algebra. 2021 ; Vol. 578. pp. 421-432.

Bibtex

@article{deb188da38ff4447a1407e2a2000ff72,
title = "Lattice isomorphisms of Leibniz algebras",
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.",
keywords = "Lie algebras, Leibniz algebras, Cyclic, Simple, Semisimple, Solvable, Supersolvable, nilpotent, Lattice isomorphism",
author = "David Towers",
note = "This is the author{\textquoteright}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",
year = "2021",
month = jul,
day = "15",
doi = "10.1016/j.jalgebra.2021.03.012",
language = "English",
volume = "578",
pages = "421--432",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "ELSEVIER ACADEMIC PRESS INC",

}

RIS

TY - JOUR

T1 - Lattice isomorphisms of Leibniz algebras

AU - Towers, David

N1 - 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

PY - 2021/7/15

Y1 - 2021/7/15

N2 - 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.

AB - 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.

KW - Lie algebras

KW - Leibniz algebras

KW - Cyclic

KW - Simple

KW - Semisimple

KW - Solvable

KW - Supersolvable

KW - nilpotent

KW - Lattice isomorphism

U2 - 10.1016/j.jalgebra.2021.03.012

DO - 10.1016/j.jalgebra.2021.03.012

M3 - Journal article

VL - 578

SP - 421

EP - 432

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -