Two-dimensional monadicity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F14%3A00073521" target="_blank" >RIV/00216224:14310/14:00073521 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.aim.2013.11.007" target="_blank" >http://dx.doi.org/10.1016/j.aim.2013.11.007</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aim.2013.11.007" target="_blank" >10.1016/j.aim.2013.11.007</a>

Result language
angličtina
Original language name
Two-dimensional monadicity
Original language description
The behaviour of limits of weak morphisms in 2-dimensional universal algebra is not 2-categorical in that, to fully express the behaviour that occurs, one needs to be able to quantify over strict morphisms amongst the weaker kinds. F-categories were introduced to express this interplay between strict and weak morphisms. We express doctrinal adjunction as an F-categorical lifting property and use this to give monadicity theorems, expressed using the language of F-categories, that cover each weaker kind of morphism.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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