The derivations of some evolution algebras

被引：41

作者：

Camacho, L. M. ^{[1
]}

Gomez, J. R. ^{[1
]}

Omirov, B. A. ^{[2
]}

Turdibaev, R. M. ^{[3
]}

机构：

[1] Univ Seville, Dept Math Aplicada 1, E-41012 Seville, Spain

[2] Inst Math & Informat Technol, Tashkent 100125, Uzbekistan

[3] Natl Univ Uzbekistan, Dept Math, Tashkent 100174, Uzbekistan

来源：

LINEAR & MULTILINEAR ALGEBRA | 2013年 / 61卷 / 03期

关键词：

evolution algebra; rank of matrix; derivation; GENETIC ALGEBRAS;

D O I：

10.1080/03081087.2012.678342

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：309 / 322

页数：14

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