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Article

Zhao, Dongsheng
On reflexive subobject lattices and reflexive endomorphism algebras. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 44 (2003), issue 1, pp. 23-32
MSC: 06A35, 18B05, 18B35, 18D35, 46C10, 47A15, 47C05, 47L35 | MR 2045843 | Zbl 1101.18303
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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