COALGEBRAS , BRAIDINGS , AND DISTRIBUTIVE LAWS To Aurelio Carboni on his 60 th birthday
نویسندگان
چکیده
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.
منابع مشابه
Representations of Crossed Modules and Other Generalized Yetter-Drinfel'd Modules
The Yang-Baxter equation plays a fundamental role in various areas of mathematics. Its solutions, called braidings, are built, among others, from Yetter-Drinfeld modules over a Hopf algebra, from self-distributive structures, and from crossed modules of groups. In the present paper these three sources of solutions are unified inside the framework of Yetter-Drinfeld modules over a braided system...
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