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arXiv · 1405.7126

On the property of subalgebras of Evolution algebras

L. M. Camacho·A. Kh. Khudoyberdiyev·B. A. Omirov
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Abstract

In this paper we study subalgebras of complex finite dimensional evolution algebras. We obtain the classification of nilpotent evolution algebras whose any subalgebra is an evolution subalgebra with a basis which can be extended to a natural basis of algebra. Moreover, we formulate three conjectures related to description of such non-nilpotent algebras.

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BibTeXRIS

L. M. Camacho, A. Kh. Khudoyberdiyev, B. A. Omirov. 2014-12-05. On the property of subalgebras of Evolution algebras. https://arxiv.org/abs/1405.7126

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