Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Functors and morphisms determined by subcategories   We study the existence and uniqueness of minimal right determiners in various
categories. Particularly in a Hom-finite hereditary abelian category with
enough projectives, we prove that the Auslander-Reiten-Smal{\o}-Ringel formula
of the minimal right determiner still holds. As an application, we give a
formula of minimal right determiners in the category of finitely presented
representations of strongly locally finite quivers.

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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph