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- Distributive_law_between_monads abstract "In category theory, an abstract branch of mathematics, distributive laws between monads are a way to express abstractly that two algebraic structures distribute one over the other one.Suppose that and are two monads on a category C. In general, there is no natural monad structure on the composite functor ST. On the other hand, there is a natural monad structure on the functor ST if there is a distributive law of the monad S over the monad T.Formally, a distributive law of the monad S over the monad T is a natural transformationsuch that the diagramsFile:Distributive law monads mult1.png File:Distributive law monads mult2.pngFile:Distributive law monads unit1.png and File:Distributive law monads unit2.pngcommute.This law induces a composite monad ST with as multiplication: , as unit: .".
- Distributive_law_between_monads thumbnail Distributive_law_monads_mult1.png?width=300.
- Distributive_law_between_monads wikiPageExternalLink 0805.4611.
- Distributive_law_between_monads wikiPageExternalLink 0311244.
- Distributive_law_between_monads wikiPageExternalLink 9602022.
- Distributive_law_between_monads wikiPageExternalLink 0707.1609.
- Distributive_law_between_monads wikiPageExternalLink 0811.4770.
- Distributive_law_between_monads wikiPageExternalLink 0406310.
- Distributive_law_between_monads wikiPageExternalLink ttt.pdf.
- Distributive_law_between_monads wikiPageExternalLink fitem?id=AIF_1996__46_2_307_0.
- Distributive_law_between_monads wikiPageExternalLink 13-09abs.html.
- Distributive_law_between_monads wikiPageID "7820243".
- Distributive_law_between_monads wikiPageRevisionID "562870787".
- Distributive_law_between_monads hasPhotoCollection Distributive_law_between_monads.
- Distributive_law_between_monads id "distributive+law".
- Distributive_law_between_monads title "Distributive law".
- Distributive_law_between_monads subject Category:Adjoint_functors.
- Distributive_law_between_monads comment "In category theory, an abstract branch of mathematics, distributive laws between monads are a way to express abstractly that two algebraic structures distribute one over the other one.Suppose that and are two monads on a category C. In general, there is no natural monad structure on the composite functor ST.".
- Distributive_law_between_monads label "Distributive law between monads".
- Distributive_law_between_monads sameAs m.026f5nf.
- Distributive_law_between_monads sameAs Q5283215.
- Distributive_law_between_monads sameAs Q5283215.
- Distributive_law_between_monads wasDerivedFrom Distributive_law_between_monads?oldid=562870787.
- Distributive_law_between_monads depiction Distributive_law_monads_mult1.png.
- Distributive_law_between_monads isPrimaryTopicOf Distributive_law_between_monads.
