Pretorsion theories, stable category and preordered sets

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

zbMATH Keywords

preordertorsion theorystable category

Mathematics Subject Classification ID

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

Cites Work

• Separation versus connectedness
• Serial rings and finitely presented modules
• Pretorsion theories in general categories
• NON-POINTED EXACTNESS, RADICALS, CLOSURE OPERATORS
• 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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