Pretorsion theories in general categories
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Publication:2196361
DOI10.1016/j.jpaa.2020.106503zbMath1457.18009arXiv1908.03546OpenAlexW3045175886MaRDI QIDQ2196361
Marino Gran, Alberto Facchini, Carmelo Antonio Finocchiaro
Publication date: 28 August 2020
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.03546
Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Torsion theories, radicals (18E40) Preorders, orders, domains and lattices (viewed as categories) (18B35)
Related Items (11)
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 ⋮ Pretorsion theories, stable category and preordered sets ⋮ Groupoids and skeletal categories form a pretorsion theory in \(\mathsf{Cat}\) ⋮ 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 ⋮ Subrings of a power set and clopen topologies ⋮ Quasihomeomorphisms and Skula spaces
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