Coalgebras, braidings, and distributive laws

Stefano Kasangian; Stephen Lack; Enrico M. Vitale

Coalgebras, braidings, and distributive laws

Stefano Kasangian, Stephen Lack, Enrico M. Vitale

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	129-146
Number of pages	18
Journal	Theory and Applications of Categories
Volume	13
Issue number	8
Publication status	Published - 2004
Externally published	Yes

Keywords

Descent data
Distributive laws
Monads
Yang-Baxter equation

Cite this

@article{527cedb3944c43088c7b78c2c34c90f2,

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

abstract = "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.",

keywords = "Descent data, Distributive laws, Monads, Yang-Baxter equation",

author = "Stefano Kasangian and Stephen Lack and Vitale, \{Enrico M.\}",

year = "2004",

language = "English",

volume = "13",

pages = "129--146",

journal = "Theory and Applications of Categories",

issn = "1201-561X",

publisher = "Mount Allison University",

number = "8",

}

TY - JOUR

T1 - Coalgebras, braidings, and distributive laws

AU - Kasangian, Stefano

AU - Lack, Stephen

AU - Vitale, Enrico M.

PY - 2004

Y1 - 2004

N2 - 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.

AB - 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.

KW - Descent data

KW - Distributive laws

KW - Monads

KW - Yang-Baxter equation

UR - https://www.scopus.com/pages/publications/33646407084

M3 - Article

AN - SCOPUS:33646407084

SN - 1201-561X

VL - 13

SP - 129

EP - 146

JO - Theory and Applications of Categories

JF - Theory and Applications of Categories

IS - 8

ER -

Coalgebras, braidings, and distributive laws

Abstract

Keywords

Other files and links

Fingerprint

Cite this