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Jan 26, 2011 at 5:25 vote accept Gerrit Begher
Jan 24, 2011 at 9:37 comment added Steve Lack That case (strict monads and pseudoalgebras) does come up sometimes in formal contexts. But if you are dealing with some concretes situtation involving a category or family of categories with some operations satisfying some equations either strictly or up to isomorphisms satisfying some equations, then you can describe such a structure as the strict algebras for some other 2-monad, and almost certainly this will be easier.
Jan 24, 2011 at 7:30 comment added Gerrit Begher Thank you ~ this was already very helpful. The specific case i am dealing with is that of pseudoalgebras for a strict 2-monad.
Jan 23, 2011 at 23:12 history answered Steve Lack CC BY-SA 2.5