Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/43640
DC Field | Value | Language |
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dc.contributor.author | Clementino, Maria Manuel | - |
dc.contributor.author | Hofmann, Dirk | - |
dc.contributor.author | Janelidze, George | - |
dc.date.accessioned | 2017-09-28T14:58:39Z | - |
dc.date.issued | 2013 | - |
dc.identifier.uri | https://hdl.handle.net/10316/43640 | - |
dc.description.abstract | In this paper we show that the theorem, by Cagliari and Mantovani, stating that in the category of compact Hausdorff spaces every étale map is exponentiable, can be formulated in a general category Alg(T) of Eilenberg-Moore T-algebras, for a monad T, and proved in case T satisfies the so-called Beck-Chevalley condition. For that, Alg(T) is embedded in the (topological) category RelAlg(T) of relational T-algebras, where a suitable notion of étale morphism can be studied, it is shown that morphisms between T-algebras are exponentiable in RelAlg(T), and, moreover, these exponentials belong to Alg(T) whenever the morphisms are étale. | por |
dc.language.iso | eng | por |
dc.publisher | Elsevier | por |
dc.relation | Centro de Matemática da Universidade de Coimbra/FCT | por |
dc.rights | embargoedAccess | - |
dc.title | On exponentiability of étale algebraic homomorphisms | por |
dc.type | article | - |
degois.publication.firstPage | 1195 | por |
degois.publication.lastPage | 1207 | por |
degois.publication.issue | 7 | por |
degois.publication.title | Journal of Pure and Applied Algebra | por |
dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S0022404912003301 | por |
dc.peerreviewed | yes | por |
dc.identifier.doi | 10.1016/j.jpaa.2012.10.013 | por |
dc.identifier.doi | 10.1016/j.jpaa.2012.10.013 | - |
degois.publication.volume | 217 | por |
dc.date.embargo | 2019-09-28T14:58:39Z | - |
uc.controloAutoridade | Sim | - |
item.languageiso639-1 | en | - |
item.grantfulltext | open | - |
item.fulltext | Com Texto completo | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | article | - |
item.cerifentitytype | Publications | - |
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 |
Files in This Item:
File | Description | Size | Format | |
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JPAA_CHJ_etale_algebraic_homomorphisms_revised.pdf | 174.96 kB | Adobe PDF | View/Open |
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