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.
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
Keywords: concrete category; optimal subset; reflexive subobject lattice; reflexive endomorphism algebra
@article{CMUC_2003_44_1_a2,
author = {Zhao, Dongsheng},
title = {On reflexive subobject lattices and reflexive endomorphism algebras},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {23--32},
year = {2003},
volume = {44},
number = {1},
mrnumber = {2045843},
zbl = {1101.18303},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2003_44_1_a2/}
}
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/