Split t-structures and torsion pairs in hereditary categories

Autores
Assem, Ibrahim; Souto Salorio, María José; Trepode, Sonia Elisabet
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We construct a bijection between split torsion pairs in the module category of a tilted algebra having a complete slice in the preinjective component with corresponding t-structures. We also classify split t-structures in the derived category of a hereditary algebra.
Fil: Assem, Ibrahim. University of Sherbrooke; Canadá
Fil: Souto Salorio, María José. Universidad da Coruña; España
Fil: Trepode, Sonia Elisabet. 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
Materia
(FORMULA PRESENTED.)-STRUCTURES
HEREDITARY CATEGORIES
SPLIT
TILTING
TORSION PAIR
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:11336/100998
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/100998
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Split t-structures and torsion pairs in hereditary categoriesAssem, IbrahimSouto Salorio, María JoséTrepode, Sonia Elisabet(FORMULA PRESENTED.)-STRUCTURESHEREDITARY CATEGORIESSPLITTILTINGTORSION PAIRhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We construct a bijection between split torsion pairs in the module category of a tilted algebra having a complete slice in the preinjective component with corresponding t-structures. We also classify split t-structures in the derived category of a hereditary algebra.Fil: Assem, Ibrahim. University of Sherbrooke; CanadáFil: Souto Salorio, María José. Universidad da Coruña; EspañaFil: Trepode, Sonia Elisabet. 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; ArgentinaWorld Scientific2018-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/100998Assem, Ibrahim; Souto Salorio, María José; Trepode, Sonia Elisabet; Split t-structures and torsion pairs in hereditary categories; World Scientific; Journal of Algebra and its Applications; 17; 1-2018; 185-2180219-4988CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1142/S0219498818502183info:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S0219498818502183info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:20:49Zoai:ri.conicet.gov.ar:11336/100998instacron: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:34982025-09-29 10:20:49.968CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Split t-structures and torsion pairs in hereditary categories
title Split t-structures and torsion pairs in hereditary categories
spellingShingle Split t-structures and torsion pairs in hereditary categories
Assem, Ibrahim
(FORMULA PRESENTED.)-STRUCTURES
HEREDITARY CATEGORIES
SPLIT
TILTING
TORSION PAIR
title_short Split t-structures and torsion pairs in hereditary categories
title_full Split t-structures and torsion pairs in hereditary categories
title_fullStr Split t-structures and torsion pairs in hereditary categories
title_full_unstemmed Split t-structures and torsion pairs in hereditary categories
title_sort Split t-structures and torsion pairs in hereditary categories
dc.creator.none.fl_str_mv Assem, Ibrahim
Souto Salorio, María José
Trepode, Sonia Elisabet
author Assem, Ibrahim
author_facet Assem, Ibrahim
Souto Salorio, María José
Trepode, Sonia Elisabet
author_role author
author2 Souto Salorio, María José
Trepode, Sonia Elisabet
author2_role author
author
dc.subject.none.fl_str_mv (FORMULA PRESENTED.)-STRUCTURES
HEREDITARY CATEGORIES
SPLIT
TILTING
TORSION PAIR
topic (FORMULA PRESENTED.)-STRUCTURES
HEREDITARY CATEGORIES
SPLIT
TILTING
TORSION PAIR
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We construct a bijection between split torsion pairs in the module category of a tilted algebra having a complete slice in the preinjective component with corresponding t-structures. We also classify split t-structures in the derived category of a hereditary algebra.
Fil: Assem, Ibrahim. University of Sherbrooke; Canadá
Fil: Souto Salorio, María José. Universidad da Coruña; España
Fil: Trepode, Sonia Elisabet. 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
description We construct a bijection between split torsion pairs in the module category of a tilted algebra having a complete slice in the preinjective component with corresponding t-structures. We also classify split t-structures in the derived category of a hereditary algebra.
publishDate 2018
dc.date.none.fl_str_mv 2018-01
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/11336/100998
Assem, Ibrahim; Souto Salorio, María José; Trepode, Sonia Elisabet; Split t-structures and torsion pairs in hereditary categories; World Scientific; Journal of Algebra and its Applications; 17; 1-2018; 185-218
0219-4988
CONICET Digital
CONICET
url http://hdl.handle.net/11336/100998
identifier_str_mv Assem, Ibrahim; Souto Salorio, María José; Trepode, Sonia Elisabet; Split t-structures and torsion pairs in hereditary categories; World Scientific; Journal of Algebra and its Applications; 17; 1-2018; 185-218
0219-4988
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1142/S0219498818502183
info:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S0219498818502183
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 World Scientific
publisher.none.fl_str_mv World Scientific
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
_version_ 1844614192624041984
score 13.070432

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