On nilpotent Leibniz n-algebras

L. M. Camacho; J. M. Casas; J. R. GÓmez; M. Ladra; B. A. Omirov

doi:10.1142/S0219498812500624

On nilpotent Leibniz n-algebras

L. M. Camacho^*
, J. M. Casas
, J. R. GÓmez
, M. Ladra
, B. A. Omirov

^*Corresponding author for this work

University of Seville
University of Vigo
University of Santiago de Compostela
Academy of Sciences of the Republic of Uzbekistan

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

19 Scopus citations

Abstract

We study the nilpotency of Leibniz n-algebras related with the adapted version of Engel's theorem to Leibniz n-algebras. We also deal with the characterization of finite-dimensional nilpotent complex Leibniz n-algebras.

Original language	English
Article number	1250062
Journal	Journal of Algebra and its Applications
Volume	11
Issue number	3
DOIs	https://doi.org/10.1142/S0219498812500624
State	Published - Jun 2012
Externally published	Yes

Keywords

Leibniz n-algebra
right nilpotency
right operator

Access to Document

10.1142/S0219498812500624

Cite this

@article{95c8c35b97954173b0cfbb34197e57f9,

title = "On nilpotent Leibniz n-algebras",

abstract = "We study the nilpotency of Leibniz n-algebras related with the adapted version of Engel's theorem to Leibniz n-algebras. We also deal with the characterization of finite-dimensional nilpotent complex Leibniz n-algebras.",

keywords = "Leibniz n-algebra, right nilpotency, right operator",

author = "Camacho, \{L. M.\} and Casas, \{J. M.\} and G{\'O}mez, \{J. R.\} and M. Ladra and Omirov, \{B. A.\}",

year = "2012",

month = jun,

doi = "10.1142/S0219498812500624",

language = "英语",

volume = "11",

journal = "Journal of Algebra and its Applications",

issn = "0219-4988",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "3",

}

TY - JOUR

T1 - On nilpotent Leibniz n-algebras

AU - Camacho, L. M.

AU - Casas, J. M.

AU - GÓmez, J. R.

AU - Ladra, M.

AU - Omirov, B. A.

PY - 2012/6

Y1 - 2012/6

N2 - We study the nilpotency of Leibniz n-algebras related with the adapted version of Engel's theorem to Leibniz n-algebras. We also deal with the characterization of finite-dimensional nilpotent complex Leibniz n-algebras.

AB - We study the nilpotency of Leibniz n-algebras related with the adapted version of Engel's theorem to Leibniz n-algebras. We also deal with the characterization of finite-dimensional nilpotent complex Leibniz n-algebras.

KW - Leibniz n-algebra

KW - right nilpotency

KW - right operator

UR - https://www.scopus.com/pages/publications/84861475479

U2 - 10.1142/S0219498812500624

DO - 10.1142/S0219498812500624

M3 - 文章

AN - SCOPUS:84861475479

SN - 0219-4988

VL - 11

JO - Journal of Algebra and its Applications

JF - Journal of Algebra and its Applications

IS - 3

M1 - 1250062

ER -

On nilpotent Leibniz n-algebras

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this