Idempotent splittings, colimit completion, and weak aspects of the theory of monads

Gabriella Böhm; Stephen Lack; Ross Street

doi:10.1016/j.jpaa.2011.07.003

Idempotent splittings, colimit completion, and weak aspects of the theory of monads

Gabriella Böhm^*, Stephen Lack, Ross Street

^*Corresponding author for this work

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

6 Citations (Scopus)

Abstract

We show that some recent constructions in the literature, named 'weak' generalizations, can be systematically treated by passing from 2-categories to categories enriched in the Cartesian monoidal category of Cauchy complete categories.

Original language	English
Pages (from-to)	385-403
Number of pages	19
Journal	Journal of Pure and Applied Algebra
Volume	216
Issue number	2
DOIs	https://doi.org/10.1016/j.jpaa.2011.07.003
Publication status	Published - Feb 2012

Access to Document

10.1016/j.jpaa.2011.07.003

Cite this

@article{6ae764ad974d438594a6ca97d526780a,

title = "Idempotent splittings, colimit completion, and weak aspects of the theory of monads",

abstract = "We show that some recent constructions in the literature, named 'weak' generalizations, can be systematically treated by passing from 2-categories to categories enriched in the Cartesian monoidal category of Cauchy complete categories.",

author = "Gabriella B{\"o}hm and Stephen Lack and Ross Street",

year = "2012",

month = feb,

doi = "10.1016/j.jpaa.2011.07.003",

language = "English",

volume = "216",

pages = "385--403",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier",

number = "2",

}

TY - JOUR

T1 - Idempotent splittings, colimit completion, and weak aspects of the theory of monads

AU - Böhm, Gabriella

AU - Lack, Stephen

AU - Street, Ross

PY - 2012/2

Y1 - 2012/2

N2 - We show that some recent constructions in the literature, named 'weak' generalizations, can be systematically treated by passing from 2-categories to categories enriched in the Cartesian monoidal category of Cauchy complete categories.

AB - We show that some recent constructions in the literature, named 'weak' generalizations, can be systematically treated by passing from 2-categories to categories enriched in the Cartesian monoidal category of Cauchy complete categories.

UR - http://www.scopus.com/inward/record.url?scp=80052907328&partnerID=8YFLogxK

U2 - 10.1016/j.jpaa.2011.07.003

DO - 10.1016/j.jpaa.2011.07.003

M3 - Article

AN - SCOPUS:80052907328

SN - 0022-4049

VL - 216

SP - 385

EP - 403

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 2

ER -

Idempotent splittings, colimit completion, and weak aspects of the theory of monads

Abstract

Access to Document

Other files and links

Fingerprint

Cite this