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Categories in which every mono-source is initial. (English) Zbl 0309.18004

MSC:
18C10 Theories (e.g., algebraic theories), structure, and semantics
08Axx Algebraic structures
18C15 Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads
18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)
54D30 Compactness
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