Free monads and the orthogonal subcategory problem

DOI10.1016/0022-4049(78)90010-5zbMath0413.18005OpenAlexW2103976662MaRDI QIDQ1260107

Harvey Wolff

Publication date: 1978

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(78)90010-5

zbMATH Keywords

pushoutsleft adjointorthogonal subcategory problemfree monadpointed endofunctorreplete full reflective subcategory

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32)

Related Items

Unnamed Item, Prereflections and reflections, Solid hulls of concrete categories, Extending localization functors, Algebraic weak factorisation systems. I: Accessible AWFS., Locally bounded enriched categories, Reflective subcategories, A unified treatment of transfinite constructions for free algebras, free monoids, colimits, associated sheaves, and so on, The orthogonal subcategory problem for pointed endofunctors, Closure functions and general iterates as reflectors

Cites Work

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• Categories of continuous functors. I
• INSTANCES AND RAMIFICATIONS OF THE SEMI-ADJOINT SITUATION I. PRESTABLE REFLECTION AND SYMMETRIC UNADS