Hereditarity of closure operators and injectivity
Castellini, Gabriele ; Giuli, Eraldo
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992), p. 149-157 / Harvested from Czech Digital Mathematics Library
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A notion of hereditarity of a closure operator with respect to a class of monomorphisms is introduced. Let $C$ be a regular closure operator induced by a subcategory $\Cal A$. It is shown that, if every object of $\Cal A$ is a subobject of an $\Cal A$-object which is injective with respect to a given class of monomorphisms, then the closure operator $C$ is hereditary with respect to that class of monomorphisms.

Publié le : 1992-01-01
Classification:  18A20,  18A32,  18G05 
@article{118480,
     author = {Gabriele Castellini and Eraldo Giuli},
     title = {Hereditarity of closure operators and injectivity},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {33},
     year = {1992},
     pages = {149-157},
     zbl = {0758.18002},
     mrnumber = {1173756},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118480}
}

Castellini, Gabriele; Giuli, Eraldo. Hereditarity of closure operators and injectivity. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) pp. 149-157. http://gdmltest.u-ga.fr/item/118480/

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