Sur L'Annulation du deuxième foncteur de (co)homologie D'André-Quillen

For a given ideal I of a commutative ring ç A,B = A/I, the vanishing of the second André-Quillen (co)homology functor H2(A,B,*) is characterized in terms of the canonical homomorphism a:S(I)->R(I) from the symmetric algebra of the ideal I onto its Rees algebra. This is done by introducing a Koszu...

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Detalhes bibliográficos
Autor: Planas Vilanova, Francesc d'Assís|||0000-0001-6200-1189
Formato: artículo
Fecha de publicación:1995
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/1192
Acesso em linha:https://hdl.handle.net/2117/1192
Access Level:acceso abierto
Palavra-chave:Commutative rings
Algebra, Homological
ideal
symmetric algebras
Anells commutatius
Homologia, Teoria d'
Classificació AMS::13 Commutative rings and algebras::13A General commutative ring theory
Classificació AMS::13 Commutative rings and algebras::13D Homological methods
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spelling Sur L'Annulation du deuxième foncteur de (co)homologie D'André-QuillenPlanas Vilanova, Francesc d'Assís|||0000-0001-6200-1189Commutative ringsAlgebra, Homologicalidealsymmetric algebrasAnells commutatiusHomologia, Teoria d'Classificació AMS::13 Commutative rings and algebras::13A General commutative ring theoryClassificació AMS::13 Commutative rings and algebras::13D Homological methodsFor a given ideal I of a commutative ring ç A,B = A/I, the vanishing of the second André-Quillen (co)homology functor H2(A,B,*) is characterized in terms of the canonical homomorphism a:S(I)->R(I) from the symmetric algebra of the ideal I onto its Rees algebra. This is done by introducing a Koszul complex that characterizes commutative graded algebras which are symmetric algebras.19951995-01-0120072007-09-28journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/1192reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 2.5 Spainhttp://creativecommons.org/licenses/by-nc-nd/2.5/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/11922026-05-27T15:37:01Z
dc.title.none.fl_str_mv Sur L'Annulation du deuxième foncteur de (co)homologie D'André-Quillen
title Sur L'Annulation du deuxième foncteur de (co)homologie D'André-Quillen
spellingShingle Sur L'Annulation du deuxième foncteur de (co)homologie D'André-Quillen
Planas Vilanova, Francesc d'Assís|||0000-0001-6200-1189
Commutative rings
Algebra, Homological
ideal
symmetric algebras
Anells commutatius
Homologia, Teoria d'
Classificació AMS::13 Commutative rings and algebras::13A General commutative ring theory
Classificació AMS::13 Commutative rings and algebras::13D Homological methods
title_short Sur L'Annulation du deuxième foncteur de (co)homologie D'André-Quillen
title_full Sur L'Annulation du deuxième foncteur de (co)homologie D'André-Quillen
title_fullStr Sur L'Annulation du deuxième foncteur de (co)homologie D'André-Quillen
title_full_unstemmed Sur L'Annulation du deuxième foncteur de (co)homologie D'André-Quillen
title_sort Sur L'Annulation du deuxième foncteur de (co)homologie D'André-Quillen
dc.creator.none.fl_str_mv Planas Vilanova, Francesc d'Assís|||0000-0001-6200-1189
author Planas Vilanova, Francesc d'Assís|||0000-0001-6200-1189
author_facet Planas Vilanova, Francesc d'Assís|||0000-0001-6200-1189
author_role author
dc.subject.none.fl_str_mv Commutative rings
Algebra, Homological
ideal
symmetric algebras
Anells commutatius
Homologia, Teoria d'
Classificació AMS::13 Commutative rings and algebras::13A General commutative ring theory
Classificació AMS::13 Commutative rings and algebras::13D Homological methods
topic Commutative rings
Algebra, Homological
ideal
symmetric algebras
Anells commutatius
Homologia, Teoria d'
Classificació AMS::13 Commutative rings and algebras::13A General commutative ring theory
Classificació AMS::13 Commutative rings and algebras::13D Homological methods
description For a given ideal I of a commutative ring ç A,B = A/I, the vanishing of the second André-Quillen (co)homology functor H2(A,B,*) is characterized in terms of the canonical homomorphism a:S(I)->R(I) from the symmetric algebra of the ideal I onto its Rees algebra. This is done by introducing a Koszul complex that characterizes commutative graded algebras which are symmetric algebras.
publishDate 1995
dc.date.none.fl_str_mv 1995
1995-01-01
2007
2007-09-28
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/1192
url https://hdl.handle.net/2117/1192
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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