One Citation
The stable category of preorders in a pretopos II: the universal property
- MathematicsAnnali di Matematica Pura ed Applicata (1923 -)
- 2022
. We prove that the stable category associated with the category PreOrd ( C ) of internal preorders in a pretopos C satisfies a universal property. The canonical functor from PreOrd ( C ) to the…
References
SHOWING 1-10 OF 31 REFERENCES
Pretorsion theories, stable category and preordered sets
- MathematicsAnnali di Matematica Pura ed Applicata (1923 -)
- 2019
We show that in the category of preordered sets there is a natural notion of pretorsion theory, in which the partially ordered sets are the torsion-free objects and the sets endowed with an…
An extension of properties of symmetric group to monoids and a pretorsion theory in a category of mappings
- MathematicsJournal of Algebra and Its Applications
- 2019
Several elementary properties of the symmetric group [Formula: see text] extend in a nice way to the full transformation monoid [Formula: see text] of all maps of the set [Formula: see text] into…
Normal Subobjects and Abelian Objects in Protomodular Categories
- Philosophy
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- Mathematics
- 2020
A pretorsion theory for the category of all categories is presented. The associated prekernels and precokernels are calculated for every functor.
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- Mathematics
- 2018
We provide a characterisation of the category KH of compact Hausdorff spaces and continuous maps by means of categorical properties only. To this aim we introduce a notion of filtrality for coherent…