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arXiv · 2503.07187

Regular evolution algebras are closed under subalgebras

Manuel Ladra·Andrés Pérez-Rodríguez
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Abstract

The main goal of this note is to show that subalgebras of regular evolution algebras are themselves evolution algebras. This allows us to assume, without loss of generality, that every subalgebra in the regular setting has a basis consisting of vectors with disjoint supports. Finally, we use this result to characterise the existence of codimension-one subalgebras in regular evolution algebras.

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Manuel Ladra, Andrés Pérez-Rodríguez. 2025-03-10. Regular evolution algebras are closed under subalgebras. https://arxiv.org/abs/2503.07187

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