The derivations of some evolution algebras

L. M. Camacho; J. R. Gómez; B. A. Omirov; R. M. Turdibaev

doi:10.1080/03081087.2012.678342

The derivations of some evolution algebras

L. M. Camacho
, J. R. Gómez
, B. A. Omirov
, R. M. Turdibaev

University of Seville
Institute of Mathematics and Information Technologies
National University of Uzbekistan named after Mirzo Ulugbek

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

44 Scopus citations

Abstract

In this work, we investigate the derivations of n-dimensional complex evolution algebras, depending on the rank of the appropriate matrices. For evolution algebra with non-singular matrices we prove that the space of derivations is zero. The spaces of derivations for evolution algebras with matrices of rank n - 1 are described.

Original language	English
Pages (from-to)	309-322
Number of pages	14
Journal	Linear and Multilinear Algebra
Volume	61
Issue number	3
DOIs	https://doi.org/10.1080/03081087.2012.678342
State	Published - Mar 2013
Externally published	Yes

Keywords

derivation
evolution algebra
rank of matrix

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10.1080/03081087.2012.678342

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title = "The derivations of some evolution algebras",

abstract = "In this work, we investigate the derivations of n-dimensional complex evolution algebras, depending on the rank of the appropriate matrices. For evolution algebra with non-singular matrices we prove that the space of derivations is zero. The spaces of derivations for evolution algebras with matrices of rank n - 1 are described.",

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year = "2013",

month = mar,

doi = "10.1080/03081087.2012.678342",

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AU - Omirov, B. A.

AU - Turdibaev, R. M.

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AB - In this work, we investigate the derivations of n-dimensional complex evolution algebras, depending on the rank of the appropriate matrices. For evolution algebra with non-singular matrices we prove that the space of derivations is zero. The spaces of derivations for evolution algebras with matrices of rank n - 1 are described.

KW - derivation

KW - evolution algebra

KW - rank of matrix

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DO - 10.1080/03081087.2012.678342

M3 - 文章

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SP - 309

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JO - Linear and Multilinear Algebra

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ER -

The derivations of some evolution algebras

Abstract

Keywords

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