Pretorsion theories, stable category and preordered sets
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Publication:2183518
DOI10.1007/s10231-019-00912-2zbMath1481.18002arXiv1902.06694OpenAlexW2976706393MaRDI QIDQ2183518
Alberto Facchini, Carmelo Antonio Finocchiaro
Publication date: 27 May 2020
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.06694
Partial orders, general (06A06) Algebraic aspects of posets (06A11) Preorders, orders, domains and lattices (viewed as categories) (18B35)
Related Items (14)
The stable category of preorders in a pretopos. I: General theory ⋮ A new Galois structure in the category of internal preorders ⋮ Torsion theories and coverings of \(V\)-groups ⋮ The realization problem for finitely generated refinement monoids ⋮ Groupoids and skeletal categories form a pretorsion theory in \(\mathsf{Cat}\) ⋮ Pretorsion theories in general categories ⋮ Prekernels of topologically axiomatized subcategories of concrete categories ⋮ Torsion theories and coverings of preordered groups ⋮ An extension of properties of symmetric group to monoids and a pretorsion theory in a category of mappings ⋮ The stable category of preorders in a pretopos. II: The universal property ⋮ Commutative Monoids, Noncommutative Rings and Modules ⋮ Frame congruences via subkernels ⋮ Subrings of a power set and clopen topologies ⋮ Quasihomeomorphisms and Skula spaces
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- Connectednesses and disconnectednesses in topology
- An extension of properties of symmetric group to monoids and a pretorsion theory in a category of mappings
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