Finite-product-preserving functors, Kan extensions, and strongly-finitary 2-monads

DOI10.1007/BF00872987zbMath0787.18007MaRDI QIDQ690382

G. M. Kelly, Stephen Lack

Publication date: 15 May 1994

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

zbMATH Keywords

productsmonads2-categoryenriched categories2-monadsKan extension

Mathematics Subject Classification ID

Related Items (18)

Morita equivalence for many-sorted enriched theories ⋮ A categorical view of varieties of ordered algebras ⋮ Finitary monads on the category of posets ⋮ Discrete Lawvere theories and computational effects ⋮ Presentations and algebraic colimits of enriched monads for a subcategory of arities ⋮ Limits of small functors ⋮ The Gray tensor product via factorisation ⋮ Virtual concepts in the theory of accessible categories ⋮ Accessible categories with a class of limits ⋮ Diagrammatic presentations of enriched monads and varieties for a subcategory of arities ⋮ Quasivarieties and varieties of ordered algebras: regularity and exactness ⋮ On semiflexible, flexible and pie algebras ⋮ Notions of Lawvere theory ⋮ Two-dimensional regularity and exactness ⋮ Incomplete Tambara functors ⋮ Coinverters and categories of fractions for categories with structure ⋮ Monads and theories ⋮ Codescent objects and coherence

Cites Work

• Unnamed Item
• Adjunctions whose counits are coequalizers, and presentations of finitary enriched monads
• A unified treatment of transfinite constructions for free algebras, free monoids, colimits, associated sheaves, and so on
• On product-preserving Kan extensions

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