Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the characterization of the space of derivations in evolution
  algebras   We study the space of derivations for some finite-dimensional evolution
algebras, depending on the twin partition of an associated directed graph. For
evolution algebras with a twin-free associated graph we prove that the space of
derivations is zero. For the remaining families of evolution algebras we obtain
sufficient conditions under which the study of such a space can be simplified.
We accomplish this task by identifying the null entries of the respective
derivation matrix. Our results suggest how strongly the associated graph's
structure impacts in the characterization of derivations for a given evolution
algebra. Therefore our approach constitutes an alternative to the recent
developments in the research of this subject. As an illustration of the
applicability of our results we provide some examples and we exhibit the
classification of the derivations for non-degenerate irreducible
$3$-dimensional evolution algebras.

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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: q-bio