# Article

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Keywords:
concrete category; optimal subset; reflexive subobject lattice; reflexive endomorphism algebra
Summary:
In this paper we study the reflexive subobject lattices and reflexive endomorphism algebras in a concrete category. For the category {\bf Set} of sets and mappings, a complete characterization for both reflexive subobject lattices and reflexive endomorphism algebras is obtained. Some partial results are also proved for the category of abelian groups.
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