Solvable Leibniz algebras whose nilradical is a quasi-filiform Leibniz algebra of maximum length

Kobiljon K. Abdurasulov; Jobir Q. Adashev; José M. Casas; Bakhrom A. Omirov

doi:10.1080/00927872.2018.1508586

Solvable Leibniz algebras whose nilradical is a quasi-filiform Leibniz algebra of maximum length

Kobiljon K. Abdurasulov
, Jobir Q. Adashev^*
, José M. Casas
, Bakhrom A. Omirov

^*Corresponding author for this work

Institute of Mathematics
University of Vigo
National University of Uzbekistan named after Mirzo Ulugbek

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We describe solvable Leibniz algebras whose nilradical is a quasi-filiform Leibniz algebra of maximum length. Thanks to previous results, the problem is reduced to the description of solvable Leibniz algebras with nilradicals M^1,δ,M^2,λ,M^3,1 and their derivations.

Original language	English
Pages (from-to)	1578-1594
Number of pages	17
Journal	Communications in Algebra
Volume	47
Issue number	4
DOIs	https://doi.org/10.1080/00927872.2018.1508586
State	Published - 3 Apr 2019
Externally published	Yes

Keywords

Abelian algebra
Leibniz algebra
Lie algebra
gradation
maximal length
nilradical
quasi-filiform algebra
solvable algebra

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10.1080/00927872.2018.1508586

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title = "Solvable Leibniz algebras whose nilradical is a quasi-filiform Leibniz algebra of maximum length",

abstract = "We describe solvable Leibniz algebras whose nilradical is a quasi-filiform Leibniz algebra of maximum length. Thanks to previous results, the problem is reduced to the description of solvable Leibniz algebras with nilradicals M1,δ,M2,λ,M3,1 and their derivations.",

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AU - Abdurasulov, Kobiljon K.

AU - Adashev, Jobir Q.

AU - Casas, José M.

AU - Omirov, Bakhrom A.

PY - 2019/4/3

Y1 - 2019/4/3

N2 - We describe solvable Leibniz algebras whose nilradical is a quasi-filiform Leibniz algebra of maximum length. Thanks to previous results, the problem is reduced to the description of solvable Leibniz algebras with nilradicals M1,δ,M2,λ,M3,1 and their derivations.

AB - We describe solvable Leibniz algebras whose nilradical is a quasi-filiform Leibniz algebra of maximum length. Thanks to previous results, the problem is reduced to the description of solvable Leibniz algebras with nilradicals M1,δ,M2,λ,M3,1 and their derivations.

KW - Abelian algebra

KW - Leibniz algebra

KW - Lie algebra

KW - gradation

KW - maximal length

KW - nilradical

KW - quasi-filiform algebra

KW - solvable algebra

UR - https://www.scopus.com/pages/publications/85059693310

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JO - Communications in Algebra

JF - Communications in Algebra

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Solvable Leibniz algebras whose nilradical is a quasi-filiform Leibniz algebra of maximum length

Abstract

Keywords

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