We show, for a monad T, that coalgebra structures on a T-algebra can be described in terms of "braidings", provided that the monad is equipped with an invertible distributive law satisfying the Yang-Baxter equation.
Keywords: Descent data, monads, distributive laws, Yang-Baxter equation
2000 MSC: 18C15, 18C20, 18D10, 16B50
Theory and Applications of Categories,
Vol. 13, 2004,
No. 8, pp 129-146.
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