Geodesic
On reflexive subobject lattices and reflexive endomorphism algebras
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 1, pp. 23-32

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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.
Classification : 06A35, 18B05, 18B35, 18D35, 46C10, 47A15, 47C05, 47L35
Keywords: concrete category; optimal subset; reflexive subobject lattice; reflexive endomorphism algebra 
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Zhao, Dongsheng. On reflexive subobject lattices and reflexive endomorphism algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 1, pp. 23-32. http://geodesic.mathdoc.fr/item/CMUC_2003__44_1_a2/