Coalgebras, braidings, and distributive laws

Stefano Kasangian, Stephen Lack, Enrico M. Vitale

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


We show, for a monad double-struck T sign, 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.

Original languageEnglish
Pages (from-to)129-146
Number of pages18
JournalTheory and Applications of Categories
Issue number8
Publication statusPublished - 2004
Externally publishedYes


  • Descent data
  • Distributive laws
  • Monads
  • Yang-Baxter equation


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