Covering techniques in Auslander–Reiten theory

Autores
Chaio, Claudia Alicia; Le Meur, Patrick; Trepode, Sonia Elisabet
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Given a finite dimensional algebra over a perfect field the text introduces covering functors over the mesh category of any modulated Auslander–Reiten component of the algebra. This is applied to study the composition of irreducible morphisms between indecomposable modules in relation with the powers of the radical of the module category.
Fil: Chaio, Claudia Alicia. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina
Fil: Le Meur, Patrick. Université Clermont Auvergne; Francia
Fil: Trepode, Sonia Elisabet. Universidad Nacional de Mar del Plata; Argentina
Materia
COVERING
PERFECT FIELD
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:11336/120239
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Covering techniques in Auslander–Reiten theoryChaio, Claudia AliciaLe Meur, PatrickTrepode, Sonia ElisabetCOVERINGPERFECT FIELDhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Given a finite dimensional algebra over a perfect field the text introduces covering functors over the mesh category of any modulated Auslander–Reiten component of the algebra. This is applied to study the composition of irreducible morphisms between indecomposable modules in relation with the powers of the radical of the module category.Fil: Chaio, Claudia Alicia. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; ArgentinaFil: Le Meur, Patrick. Université Clermont Auvergne; FranciaFil: Trepode, Sonia Elisabet. Universidad Nacional de Mar del Plata; ArgentinaElsevier Science2019-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/120239Chaio, Claudia Alicia; Le Meur, Patrick; Trepode, Sonia Elisabet; Covering techniques in Auslander–Reiten theory; Elsevier Science; Journal Of Pure And Applied Algebra; 223; 2; 1-2019; 641-6590022-4049CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.jpaa.2018.04.013info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:02:30Zoai:ri.conicet.gov.ar:11336/120239instacron: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:34982025-10-22 12:02:30.577CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Covering techniques in Auslander–Reiten theory
title Covering techniques in Auslander–Reiten theory
spellingShingle Covering techniques in Auslander–Reiten theory
Chaio, Claudia Alicia
COVERING
PERFECT FIELD
title_short Covering techniques in Auslander–Reiten theory
title_full Covering techniques in Auslander–Reiten theory
title_fullStr Covering techniques in Auslander–Reiten theory
title_full_unstemmed Covering techniques in Auslander–Reiten theory
title_sort Covering techniques in Auslander–Reiten theory
dc.creator.none.fl_str_mv Chaio, Claudia Alicia
Le Meur, Patrick
Trepode, Sonia Elisabet
author Chaio, Claudia Alicia
author_facet Chaio, Claudia Alicia
Le Meur, Patrick
Trepode, Sonia Elisabet
author_role author
author2 Le Meur, Patrick
Trepode, Sonia Elisabet
author2_role author
author
dc.subject.none.fl_str_mv COVERING
PERFECT FIELD
topic COVERING
PERFECT FIELD
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Given a finite dimensional algebra over a perfect field the text introduces covering functors over the mesh category of any modulated Auslander–Reiten component of the algebra. This is applied to study the composition of irreducible morphisms between indecomposable modules in relation with the powers of the radical of the module category.
Fil: Chaio, Claudia Alicia. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata; Argentina
Fil: Le Meur, Patrick. Université Clermont Auvergne; Francia
Fil: Trepode, Sonia Elisabet. Universidad Nacional de Mar del Plata; Argentina
description Given a finite dimensional algebra over a perfect field the text introduces covering functors over the mesh category of any modulated Auslander–Reiten component of the algebra. This is applied to study the composition of irreducible morphisms between indecomposable modules in relation with the powers of the radical of the module category.
publishDate 2019
dc.date.none.fl_str_mv 2019-01
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/11336/120239
Chaio, Claudia Alicia; Le Meur, Patrick; Trepode, Sonia Elisabet; Covering techniques in Auslander–Reiten theory; Elsevier Science; Journal Of Pure And Applied Algebra; 223; 2; 1-2019; 641-659
0022-4049
CONICET Digital
CONICET
url http://hdl.handle.net/11336/120239
identifier_str_mv Chaio, Claudia Alicia; Le Meur, Patrick; Trepode, Sonia Elisabet; Covering techniques in Auslander–Reiten theory; Elsevier Science; Journal Of Pure And Applied Algebra; 223; 2; 1-2019; 641-659
0022-4049
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jpaa.2018.04.013
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 Elsevier Science
publisher.none.fl_str_mv Elsevier Science
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 12.982451

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