On the existence of a derived equivalence between a Kozul algebra and its Yoneda Algebra

Autores
Aquino, R.M.; Marcos, Eduardo Do Nascimento; Trepode, Sonia Elisabet
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper, we study the derived categories of a Koszul algebra and its Yoneda algebra to determine when those categories are triangularly equivalent. We prove that the simply connected Koszul algebras are derived equivalent to their Yoneda algebras. We have considered discrete Koszul algebras and we gave necessary and sufficient conditions for those Koszul algebras to be derived equivalent to their Yoneda algebras. We also study the class of Koszul algebras which are derived equivalent to hereditary algebras. For the case where the hereditary algebra is tame, we characterized the derived equivalence between those Koszul algebras and their Yoneda algebras.
Fil: Aquino, R.M.. Universidade Federal do Espírito Santo; Brasil
Fil: Marcos, Eduardo Do Nascimento. Universidade de Sao Paulo; Brasil
Fil: Trepode, Sonia Elisabet. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Koszul Algebras
Graded Algebras
Simply Connected
Derived Discrete
Derived Hereditary Algebras
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:11336/25638
Acceder
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network_name_str CONICET Digital (CONICET)
spelling On the existence of a derived equivalence between a Kozul algebra and its Yoneda AlgebraAquino, R.M.Marcos, Eduardo Do NascimentoTrepode, Sonia ElisabetKoszul AlgebrasGraded AlgebrasSimply ConnectedDerived DiscreteDerived Hereditary Algebrashttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper, we study the derived categories of a Koszul algebra and its Yoneda algebra to determine when those categories are triangularly equivalent. We prove that the simply connected Koszul algebras are derived equivalent to their Yoneda algebras. We have considered discrete Koszul algebras and we gave necessary and sufficient conditions for those Koszul algebras to be derived equivalent to their Yoneda algebras. We also study the class of Koszul algebras which are derived equivalent to hereditary algebras. For the case where the hereditary algebra is tame, we characterized the derived equivalence between those Koszul algebras and their Yoneda algebras.Fil: Aquino, R.M.. Universidade Federal do Espírito Santo; BrasilFil: Marcos, Eduardo Do Nascimento. Universidade de Sao Paulo; BrasilFil: Trepode, Sonia Elisabet. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaWorld Scientific2014-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/25638Aquino, R.M.; Marcos, Eduardo Do Nascimento; Trepode, Sonia Elisabet; On the existence of a derived equivalence between a Kozul algebra and its Yoneda Algebra; World Scientific; Journal Of Algebra And Its Applications; 13; 4; 1-2014; 1-180219-4988CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1142/S0219498813501363info:eu-repo/semantics/altIdentifier/url/http://www.worldscientific.com/doi/abs/10.1142/S0219498813501363info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T14:57:04Zoai:ri.conicet.gov.ar:11336/25638instacron: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:34982025-10-15 14:57:05.031CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On the existence of a derived equivalence between a Kozul algebra and its Yoneda Algebra
title On the existence of a derived equivalence between a Kozul algebra and its Yoneda Algebra
spellingShingle On the existence of a derived equivalence between a Kozul algebra and its Yoneda Algebra
Aquino, R.M.
Koszul Algebras
Graded Algebras
Simply Connected
Derived Discrete
Derived Hereditary Algebras
title_short On the existence of a derived equivalence between a Kozul algebra and its Yoneda Algebra
title_full On the existence of a derived equivalence between a Kozul algebra and its Yoneda Algebra
title_fullStr On the existence of a derived equivalence between a Kozul algebra and its Yoneda Algebra
title_full_unstemmed On the existence of a derived equivalence between a Kozul algebra and its Yoneda Algebra
title_sort On the existence of a derived equivalence between a Kozul algebra and its Yoneda Algebra
dc.creator.none.fl_str_mv Aquino, R.M.
Marcos, Eduardo Do Nascimento
Trepode, Sonia Elisabet
author Aquino, R.M.
author_facet Aquino, R.M.
Marcos, Eduardo Do Nascimento
Trepode, Sonia Elisabet
author_role author
author2 Marcos, Eduardo Do Nascimento
Trepode, Sonia Elisabet
author2_role author
author
dc.subject.none.fl_str_mv Koszul Algebras
Graded Algebras
Simply Connected
Derived Discrete
Derived Hereditary Algebras
topic Koszul Algebras
Graded Algebras
Simply Connected
Derived Discrete
Derived Hereditary Algebras
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this paper, we study the derived categories of a Koszul algebra and its Yoneda algebra to determine when those categories are triangularly equivalent. We prove that the simply connected Koszul algebras are derived equivalent to their Yoneda algebras. We have considered discrete Koszul algebras and we gave necessary and sufficient conditions for those Koszul algebras to be derived equivalent to their Yoneda algebras. We also study the class of Koszul algebras which are derived equivalent to hereditary algebras. For the case where the hereditary algebra is tame, we characterized the derived equivalence between those Koszul algebras and their Yoneda algebras.
Fil: Aquino, R.M.. Universidade Federal do Espírito Santo; Brasil
Fil: Marcos, Eduardo Do Nascimento. Universidade de Sao Paulo; Brasil
Fil: Trepode, Sonia Elisabet. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description In this paper, we study the derived categories of a Koszul algebra and its Yoneda algebra to determine when those categories are triangularly equivalent. We prove that the simply connected Koszul algebras are derived equivalent to their Yoneda algebras. We have considered discrete Koszul algebras and we gave necessary and sufficient conditions for those Koszul algebras to be derived equivalent to their Yoneda algebras. We also study the class of Koszul algebras which are derived equivalent to hereditary algebras. For the case where the hereditary algebra is tame, we characterized the derived equivalence between those Koszul algebras and their Yoneda algebras.
publishDate 2014
dc.date.none.fl_str_mv 2014-01
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/11336/25638
Aquino, R.M.; Marcos, Eduardo Do Nascimento; Trepode, Sonia Elisabet; On the existence of a derived equivalence between a Kozul algebra and its Yoneda Algebra; World Scientific; Journal Of Algebra And Its Applications; 13; 4; 1-2014; 1-18
0219-4988
CONICET Digital
CONICET
url http://hdl.handle.net/11336/25638
identifier_str_mv Aquino, R.M.; Marcos, Eduardo Do Nascimento; Trepode, Sonia Elisabet; On the existence of a derived equivalence between a Kozul algebra and its Yoneda Algebra; World Scientific; Journal Of Algebra And Its Applications; 13; 4; 1-2014; 1-18
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/S0219498813501363
info:eu-repo/semantics/altIdentifier/url/http://www.worldscientific.com/doi/abs/10.1142/S0219498813501363
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
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
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score 13.22299

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