D-ultrafilters and their monads

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F21%3A00354970" target="_blank" >RIV/68407700:21230/21:00354970 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.aim.2020.107486" target="_blank" >https://doi.org/10.1016/j.aim.2020.107486</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aim.2020.107486" target="_blank" >10.1016/j.aim.2020.107486</a>

Result language
angličtina
Original language name
D-ultrafilters and their monads
Original language description
For a number of locally finitely presentable categories K we describe the codensity monad of the full embedding of all finitely presentable objects into K. We introduce the concept of D-ultrafilter on an object, where Dis a "nice" cogenerator of K. We prove that the codensity monad assigns to every object an object representing all D-ultrafilters on it. Our result covers e.g. categories of sets, vector spaces, posets, semilattices, graphs and M-sets for finite commutative monoids M. (C) 2020 Elsevier Inc. All rights reserved.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA19-00902S" target="_blank" >GA19-00902S: Injectivity and Monads in Algebra and Topology</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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