How complete are categories of algebras?

DOI10.1017/S0004972700003683zbMath0616.18005OpenAlexW2163749960MaRDI QIDQ4724807

Jiří Adámek

Publication date: 1987

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700003683

zbMATH Keywords

solid categorymonadendofunctorcategory of algebrascompact categoryhypercomplete categorysemi- topological categorytopologically-algebraic category

Mathematics Subject Classification ID

Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Categories admitting limits (complete categories), functors preserving limits, completions (18A35) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) Eilenberg-Moore and Kleisli constructions for monads (18C20)

Cites Work

• Are colimits of algebras simple to construct?
• Compact and hypercomplete categories
• Categorical constructions of free algebras, colimits, and completions of partial algebras
• Semi-topological functors. I
• Coequalizers and free triples
• Equivalence of Topologically-Algebraic and Semi-Topological Functors
• Adjoints to functors from categories of algebras
• Small subcategories and completeness

This page was built for publication: How complete are categories of algebras?