The derivations of some evolution algebras

Mathematics – Commutative Algebra

Scientific paper

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13 pages

Scientific paper

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.

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