Talk:Distributive law between monads

Suppose that

(S,\mu ^{S},\eta ^{S})

and

(T,\mu ^{T},\eta ^{T})

are two monads on a category C.

The above is obviously not an appropriate way for a Wikipedia article to begin. It doesn't tell the lay reader that mathematics (rather than chemistry, theology, video games, etc.) is what this is about.

Also, I think it would be nice to change $l\,$ to $\ell \,$ , but I can't do that in the graphics embodying the commutative diagrams. Michael Hardy 00:29, 10 November 2006 (UTC)[reply]

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Examples

This article is in dire need of examples! Preferably more than just the prototypical example of the monoid and abelian group monads on $\mathbf {Set}$ giving the ring monad (or the monoid and commutative monoid monads giving the semiring monad, which I guess works in exactly the same way) – at least one other algebraic example would be nice, but I'm not personally aware of one.

I have added an Examples section with a {needs expansion} tag for anyone who'd like to contribute :) Jayy V (talk) 00:54, 19 February 2024 (UTC)[reply]