Derivations and loops of some evolution algebras

被引：5
作者：
Casado, Yolanda Cabrera [1 ]
Cadavid, Paula [2 ]
Reis, Tiago [3 ,4 ]
机构：
[1] Univ Malaga, Dept Matemat Aplicada, ETS Ingn Informat, Campus Teatinos s n, Malaga 29071, Spain
[2] Univ Fed ABC, Ctr Matemat Computacao & Cognicao, Ave dos Estados,5001-Bangu, Santo Andre, SP, Brazil
[3] Univ Tegnol Fed Parana, Ave Alberto Carazzai, 1640,Campus Cornelio, Procopio, PR, Brazil
[4] Univ Fed ABC, Ave dos Estados,5001-Bangu, Santo Andre, SP, Brazil
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2023年 / 117卷 / 03期
关键词：
Genetic algebra; Volterra evolution algebra; Derivation; Graph;
D O I：
10.1007/s13398-023-01446-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work we study the space of derivations of non-degenerate evolution algebras. We improve some results obtained recently in the literature and, as a consequence, we advance in the description of the derivations for n-dimensional Volterra evolution algebras. In addition, we introduce the notion of loop of an evolution algebra and we analyze under which conditions the set of loops is invariant under change of basis.
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页数：22
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