n-Dimensional filiform Leibniz algebras of length (n - 1) and their derivations

S. Albeverio; Sh A. Ayupov; B. A. Omirov; A. Kh Khudoyberdiyev

doi:10.1016/j.jalgebra.2007.12.014

n-Dimensional filiform Leibniz algebras of length (n - 1) and their derivations

S. Albeverio
, Sh A. Ayupov
, B. A. Omirov^*
, A. Kh Khudoyberdiyev

^*Corresponding author for this work

University of Bonn
CERFIM
Academy of Sciences of the Republic of Uzbekistan
National University of Uzbekistan named after Mirzo Ulugbek

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

23 Scopus citations

Abstract

In this work n-dimensional filiform Leibniz algebras admitting a gradation of length (n - 1) are classified. Derivations of such algebras are also described.

Original language	English
Pages (from-to)	2471-2488
Number of pages	18
Journal	Journal of Algebra
Volume	319
Issue number	6
DOIs	https://doi.org/10.1016/j.jalgebra.2007.12.014
State	Published - 15 Mar 2008
Externally published	Yes

Keywords

Derivation
Filiform Leibniz algebra
Gradation
Length of Leibniz algebra
Natural gradation

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10.1016/j.jalgebra.2007.12.014

Cite this

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title = "n-Dimensional filiform Leibniz algebras of length (n - 1) and their derivations",

abstract = "In this work n-dimensional filiform Leibniz algebras admitting a gradation of length (n - 1) are classified. Derivations of such algebras are also described.",

keywords = "Derivation, Filiform Leibniz algebra, Gradation, Length of Leibniz algebra, Natural gradation",

author = "S. Albeverio and Ayupov, \{Sh A.\} and Omirov, \{B. A.\} and Khudoyberdiyev, \{A. Kh\}",

year = "2008",

month = mar,

day = "15",

doi = "10.1016/j.jalgebra.2007.12.014",

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T1 - n-Dimensional filiform Leibniz algebras of length (n - 1) and their derivations

AU - Albeverio, S.

AU - Ayupov, Sh A.

AU - Omirov, B. A.

AU - Khudoyberdiyev, A. Kh

PY - 2008/3/15

Y1 - 2008/3/15

N2 - In this work n-dimensional filiform Leibniz algebras admitting a gradation of length (n - 1) are classified. Derivations of such algebras are also described.

AB - In this work n-dimensional filiform Leibniz algebras admitting a gradation of length (n - 1) are classified. Derivations of such algebras are also described.

KW - Derivation

KW - Filiform Leibniz algebra

KW - Gradation

KW - Length of Leibniz algebra

KW - Natural gradation

UR - https://www.scopus.com/pages/publications/39149083049

U2 - 10.1016/j.jalgebra.2007.12.014

DO - 10.1016/j.jalgebra.2007.12.014

M3 - 文章

AN - SCOPUS:39149083049

SN - 0021-8693

VL - 319

SP - 2471

EP - 2488

JO - Journal of Algebra

JF - Journal of Algebra

IS - 6

ER -

n-Dimensional filiform Leibniz algebras of length (n - 1) and their derivations

Abstract

Keywords

Access to Document

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