Monotone-light factorisation systems and torsion theories

DOI10.1016/J.BULSCI.2013.02.004zbMath1284.18024arXiv1401.1484OpenAlexW2011052027MaRDI QIDQ386651

Tomas Everaert, Marino Gran

Publication date: 10 December 2013

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.1484

zbMATH Keywords

torsion-free groupsabelian categorytorsion theorynormal categoryfactorisation systemmonotone-light factorisationreduced ringstotally disconnected groups

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Torsion theories, radicals (18E40) Topological groups (topological aspects) (54H11) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) General radicals and associative rings (16N80) Torsion-free groups, finite rank (20K15)

Related Items (10)

Torsion theories and coverings of \(V\)-groups ⋮ The Zassenhaus lemma in star-regular categories ⋮ CONDITIONAL FLATNESS, FIBERWISE LOCALIZATIONS, AND ADMISSIBLE REFLECTIONS ⋮ Some remarks on protolocalizations and protoadditive reflections ⋮ Duality in non-abelian algebra. III. Normal categories and 0-regular varieties ⋮ Torsion theories and coverings of preordered groups ⋮ A relative monotone-light factorization system for internal groupoids ⋮ Dual closure operators and their applications ⋮ Protoadditive functors, derived torsion theories and homology ⋮ Semi-localizations of semi-abelian categories

Cites Work

• Topological semi-abelian algebras
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• Torsion theories and radicals in normal categories
• Torsion theories and Galois coverings of topological groups
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• Pointed protomodularity via natural imaginary subtractions
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• Internal categories in Mal'cev categories
• Protoadditive functors, derived torsion theories and homology
• THE FUNDAMENTAL THEOREM OF GALOIS THEORY
• A Torsion Theory for Abelian Categories
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