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Colimits of algebras revisited. (English) Zbl 0365.18007


MSC:

18C15 Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads
18A35 Categories admitting limits (complete categories), functors preserving limits, completions
18A30 Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.)
18A20 Epimorphisms, monomorphisms, special classes of morphisms, null morphisms
18A25 Functor categories, comma categories
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References:

[1] Manes, Algebraic theories 26 (1976) · doi:10.1007/978-1-4612-9860-1
[2] Mac Lane, Categories for the working mathematician 5 (1971) · doi:10.1007/978-1-4612-9839-7
[3] DOI: 10.1007/BFb0083082 · doi:10.1007/BFb0083082
[4] Adámek, Kibernetika
[5] DOI: 10.1007/BF01111838 · Zbl 0194.01701 · doi:10.1007/BF01111838
[6] DOI: 10.1137/1016026 · Zbl 0288.18005 · doi:10.1137/1016026
[7] Herrlich, Category theory: an introduction (1973) · Zbl 0265.18001
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