Journal of Algebra and its Applications Volumen: 14 Número: 7 Sep 2015
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Identifier
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DOI: 10.1142/S0219498815501030
Identifier
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https://repositorio.uchile.cl/handle/2250/132832
General note
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Artículo de publicación ISI
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Abstract
dc.description.abstract
A digraph is attached to any evolution algebra. This graph leads to some new purely algebraic results on this class of algebras and allows for some new natural proofs of known results. Nilpotency of an evolution algebra will be proved to be equivalent to the nonexistence of oriented cycles in the graph. Besides, the automorphism group of any evolution algebra epsilon with epsilon = epsilon(2) will be shown to be always finite.
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Patrocinador
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Spanish Ministerio de Educacion y Ciencia
FEDER
MTM 2010-18370-C04-02
MTM2013-45588-C3-2-P
Diputacion General de Aragon (Grupo de Investigacion de Algebra)
FONDECYT
1120844