Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/114837
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Clementino, Maria Manuel | - |
dc.contributor.author | Fitas, Carlos | - |
dc.date.accessioned | 2024-04-15T09:26:18Z | - |
dc.date.available | 2024-04-15T09:26:18Z | - |
dc.date.issued | 2023 | - |
dc.identifier.issn | 1607-3606 | pt |
dc.identifier.issn | 1727-933X | pt |
dc.identifier.uri | https://hdl.handle.net/10316/114837 | - |
dc.description.abstract | This paper focuses on the presheaf monad, or the free cocompletion monad, and its submonads on the realm of V-categories, for a quantale V. First we present two characterisations of presheaf submonads, both using V-distributors: one based on admissible classes of V-distributors, and other using Beck-Chevalley conditions on V-distributors. Further we prove that lax idempotency for 2-monads on V-Cat can be characterized via such a Beck-Chevalley condition. Then we focus on the study of the Eilenberg-Moore categories of algebras for our monads, having as main examples the formal ball monad and the Lawvere-Cauchy completion monad. | pt |
dc.language.iso | eng | pt |
dc.publisher | Taylor & Francis | pt |
dc.relation | UIDB/00324/2020 | pt |
dc.relation | FCTPh.D.grant SFRH/BD/150460/2019 | pt |
dc.rights | openAccess | pt |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt |
dc.subject | Quantale | pt |
dc.subject | V -category | pt |
dc.subject | distributor | pt |
dc.subject | laxidempotent monad | pt |
dc.subject | presheaf monad | pt |
dc.subject | free cocompletion monad | pt |
dc.subject | Ballmonad | pt |
dc.subject | Lawvere-Cauchy completion monad | pt |
dc.title | On presheaf submonads of quantale-enriched categories | pt |
dc.type | article | - |
degois.publication.firstPage | 2079 | pt |
degois.publication.lastPage | 2108 | pt |
degois.publication.issue | 10 | pt |
degois.publication.title | Quaestiones Mathematicae | pt |
dc.peerreviewed | yes | pt |
dc.identifier.doi | 10.2989/16073606.2022.2144532 | pt |
degois.publication.volume | 46 | pt |
dc.date.embargo | 2023-01-01 | * |
uc.date.periodoEmbargo | 0 | pt |
item.fulltext | Com Texto completo | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.languageiso639-1 | en | - |
item.openairetype | article | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
crisitem.project.grantno | Center for Mathematics, University of Coimbra- CMUC | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0002-2653-8090 | - |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais FCTUC Matemática - Artigos em Revistas Internacionais |
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File | Description | Size | Format | |
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On presheaf submonads of quantale-enriched categories.pdf | 749.1 kB | Adobe PDF | View/Open |
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This item is licensed under a Creative Commons License