Coalgebras, braidings, and distributive laws

Stefano Kasangian; Stephen Lack; Enrico Vitale

Coalgebras, braidings, and distributive laws

Stefano Kasangian, Stephen Lack, Enrico Vitale

Research output: Contribution to journal › Article

7 Citations (Scopus)

Abstract

We show, for a monad T, that coalgebra structures on a T-algebra can be described in terms of ÃƒÂ¢Ã¢"šÂ¬Ã…"braidingsÃƒÂ¢Ã¢"šÂ¬Ã‚Â, provided that the monad is equipped with an invertible distributive law satisfying the Yang-Baxter equation.

Original language	English
Journal	Theory and Applications of Categories
Publication status	Published - 2004

Keywords

Distributive law (Mathematics)
algebra
bialgebra

Cite this

@article{91fd5c159d204b558f296d275a1dd343,

title = "Coalgebras, braidings, and distributive laws",

abstract = "We show, for a monad T, that coalgebra structures on a T-algebra can be described in terms of {\~A}ƒ{\^A}¢{\~A}¢{"}{\v s}{\^A}¬{\~A}…{"}braidings{\~A}ƒ{\^A}¢{\~A}¢{"}{\v s}{\^A}¬{\~A}‚{\^A}, provided that the monad is equipped with an invertible distributive law satisfying the Yang-Baxter equation.",

keywords = "Distributive law (Mathematics), algebra, bialgebra",

author = "Stefano Kasangian and Stephen Lack and Enrico Vitale",

year = "2004",

language = "English",

journal = "Theory and Applications of Categories",

issn = "1201-561X",

publisher = "Mount Allison University: Department of Mathematics and Science",

}

TY - JOUR

T1 - Coalgebras, braidings, and distributive laws

AU - Kasangian, Stefano

AU - Lack, Stephen

AU - Vitale, Enrico

PY - 2004

Y1 - 2004

N2 - We show, for a monad T, that coalgebra structures on a T-algebra can be described in terms of ÃƒÂ¢Ã¢"šÂ¬Ã…"braidingsÃƒÂ¢Ã¢"šÂ¬Ã‚Â, provided that the monad is equipped with an invertible distributive law satisfying the Yang-Baxter equation.

AB - We show, for a monad T, that coalgebra structures on a T-algebra can be described in terms of ÃƒÂ¢Ã¢"šÂ¬Ã…"braidingsÃƒÂ¢Ã¢"šÂ¬Ã‚Â, provided that the monad is equipped with an invertible distributive law satisfying the Yang-Baxter equation.

KW - Distributive law (Mathematics)

KW - algebra

KW - bialgebra

UR - http://handle.uws.edu.au:8081/1959.7/34136

M3 - Article

SN - 1201-561X

JO - Theory and Applications of Categories

JF - Theory and Applications of Categories

ER -

Coalgebras, braidings, and distributive laws

Abstract

Keywords

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