Bimonadicity and the explicit basis property

Autores
Menni, Matías
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let L \dashv R:X \rightarrow Y}$ be an adjunction with R monadic and L comonadic. Denote the induced monad on Y by M and the induced comonad on X by C. We characterize those C such that M satisfies the Explicit Basis property. We also discuss some new examples and results motivated by this characterization.
Fil: Menni, Matías. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas; Argentina
Materia
(CO)MONADS
PROJECTIVE OBJECTS
DESCENT
MODULAR CATEGORIES
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/217346
Acceder
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spelling Bimonadicity and the explicit basis propertyMenni, Matías(CO)MONADSPROJECTIVE OBJECTSDESCENTMODULAR CATEGORIEShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let L \dashv R:X \rightarrow Y}$ be an adjunction with R monadic and L comonadic. Denote the induced monad on Y by M and the induced comonad on X by C. We characterize those C such that M satisfies the Explicit Basis property. We also discuss some new examples and results motivated by this characterization.Fil: Menni, Matías. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas; ArgentinaMount Allison University2012-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/217346Menni, Matías; Bimonadicity and the explicit basis property; Mount Allison University; Theory And Applications Of Categories; 26; 22; 10-2012; 554-5811201-561XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.tac.mta.ca/tac/volumes/26/22/26-22.pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-26T08:40:27Zoai:ri.conicet.gov.ar:11336/217346instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-11-26 08:40:27.456CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Bimonadicity and the explicit basis property
title Bimonadicity and the explicit basis property
spellingShingle Bimonadicity and the explicit basis property
Menni, Matías
(CO)MONADS
PROJECTIVE OBJECTS
DESCENT
MODULAR CATEGORIES
title_short Bimonadicity and the explicit basis property
title_full Bimonadicity and the explicit basis property
title_fullStr Bimonadicity and the explicit basis property
title_full_unstemmed Bimonadicity and the explicit basis property
title_sort Bimonadicity and the explicit basis property
dc.creator.none.fl_str_mv Menni, Matías
author Menni, Matías
author_facet Menni, Matías
author_role author
dc.subject.none.fl_str_mv (CO)MONADS
PROJECTIVE OBJECTS
DESCENT
MODULAR CATEGORIES
topic (CO)MONADS
PROJECTIVE OBJECTS
DESCENT
MODULAR CATEGORIES
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Let L \dashv R:X \rightarrow Y}$ be an adjunction with R monadic and L comonadic. Denote the induced monad on Y by M and the induced comonad on X by C. We characterize those C such that M satisfies the Explicit Basis property. We also discuss some new examples and results motivated by this characterization.
Fil: Menni, Matías. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas; Argentina
description Let L \dashv R:X \rightarrow Y}$ be an adjunction with R monadic and L comonadic. Denote the induced monad on Y by M and the induced comonad on X by C. We characterize those C such that M satisfies the Explicit Basis property. We also discuss some new examples and results motivated by this characterization.
publishDate 2012
dc.date.none.fl_str_mv 2012-10
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/217346
Menni, Matías; Bimonadicity and the explicit basis property; Mount Allison University; Theory And Applications Of Categories; 26; 22; 10-2012; 554-581
1201-561X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/217346
identifier_str_mv Menni, Matías; Bimonadicity and the explicit basis property; Mount Allison University; Theory And Applications Of Categories; 26; 22; 10-2012; 554-581
1201-561X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.tac.mta.ca/tac/volumes/26/22/26-22.pdf
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Mount Allison University
publisher.none.fl_str_mv Mount Allison University
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.011256

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