\(\lambda\)-presentable morphisms, injectivity and (weak) factorization systems

DOI10.1007/s10485-006-9024-9zbMath1111.18002arXivmath/0509318OpenAlexW1968431853WikidataQ122452491 ScholiaQ122452491MaRDI QIDQ857748

Michel Hebert

Publication date: 20 December 2006

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509318

zbMATH Keywords

injectivityorthogonalityweak factorization systemfinitely presentable morphismpure morphism

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Integral closure of commutative rings and ideals (13B22) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (2)

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Cites Work

• Residually small varieties without rank
• Purity and injectivity in accessible categories
• On pure morphisms in accessible categories
• Pure morphisms in pro-categories
• Sur quelques propriétés des couples d'anneaux ou de modules
• Homotopical algebra
• A generalization of Quillen's small object argument
• Accessible Categories: The Foundations of Categorical Model Theory
• Universally Going-Down Rings, 1-Split Rings, and Absolute Integral Closure
• Sheafifiable homotopy model categories
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