Lax monads. Indexed monoidal monads

DOI10.1016/0022-4049(91)90094-IzbMath0749.18002MaRDI QIDQ1181431

Aurelio Carboni, Robert D. Rosebrugh

Publication date: 27 June 1992

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

zbMATH Keywords

Eilenberg-Moore algebrabicategoryenriched categorylax monad

Mathematics Subject Classification ID

Topoi (18B25) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) Enriched categories (over closed or monoidal categories) (18D20) Eilenberg-Moore and Kleisli constructions for monads (18C20)

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• Diagram chasing in Mal'cev categories
• Free quantaloids
• Coherence for bicategories and indexed categories
• Variation through enrichment
• Bicategories of spans and relations
• On algebras defined by operations and equations in a topos
• Sheaves on sites as Cauchy-complete categories
• Monads on symmetric monoidal closed categories
• Strong functors and monoidal monads
• Introduction to bicategories

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