The nilpotency properties of the Leibniz algebra Mn(C) D

Sh A. Ayupov; B. A. Omirov

doi:10.1023/B:SIMJ.0000028604.91651.80

The nilpotency properties of the Leibniz algebra M_n(C) _D

Sh A. Ayupov
, B. A. Omirov

School of Mathematics

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

3 Scopus citations

Abstract

We study the nilpotency properties of the Leibniz algebras constructed by means of D-mappings on the algebra of complex square matrices M_n(C). In particular, we obtain a criterion for nilpotency of these algebras in terms of the properties of a D-mapping. We prove also that the Leibniz algebras under consideration cannot be simple.

Original language	English
Pages (from-to)	399-409
Number of pages	11
Journal	Siberian Mathematical Journal
Volume	45
Issue number	3
DOIs	https://doi.org/10.1023/B:SIMJ.0000028604.91651.80
State	Published - May 2004

Keywords

Associative algebra
D-mapping
Leibniz algebra
Nilpotency
Simple Leibniz algebra

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10.1023/B:SIMJ.0000028604.91651.80

Cite this

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abstract = "We study the nilpotency properties of the Leibniz algebras constructed by means of D-mappings on the algebra of complex square matrices Mn(C). In particular, we obtain a criterion for nilpotency of these algebras in terms of the properties of a D-mapping. We prove also that the Leibniz algebras under consideration cannot be simple.",

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AU - Omirov, B. A.

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AB - We study the nilpotency properties of the Leibniz algebras constructed by means of D-mappings on the algebra of complex square matrices Mn(C). In particular, we obtain a criterion for nilpotency of these algebras in terms of the properties of a D-mapping. We prove also that the Leibniz algebras under consideration cannot be simple.

KW - Associative algebra

KW - D-mapping

KW - Leibniz algebra

KW - Nilpotency

KW - Simple Leibniz algebra

UR - https://www.scopus.com/pages/publications/3943082722

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DO - 10.1023/B:SIMJ.0000028604.91651.80

M3 - 文章

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JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

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ER -

The nilpotency properties of the Leibniz algebra M_n(C) _D

Abstract

Keywords

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