Differential simplicity and a criterion for normality

Let P be a point on an algebraic variety V over a ground field k. Let R be the local ring of P on V, and let   D be the module of derivations of R into itself. If R is D-simple,  then P is a normal point. Let P be a point on a noetherian scheme X.  Let R he the local ring of P on X, and let D be the...

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Autores:
Lequain, Ives
Tipo de recurso:
Article of journal
Fecha de publicación:
1974
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/42347
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/42347
http://bdigital.unal.edu.co/32444/
Palabra clave:
Algebraic variety
local ring
noetherian scheme
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Lequain, Ives7c4dc817-ce7e-4326-b16b-e66e589d22b43002019-06-28T10:44:47Z2019-06-28T10:44:47Z1974https://repositorio.unal.edu.co/handle/unal/42347http://bdigital.unal.edu.co/32444/Let P be a point on an algebraic variety V over a ground field k. Let R be the local ring of P on V, and let   D be the module of derivations of R into itself. If R is D-simple,  then P is a normal point. Let P be a point on a noetherian scheme X.  Let R he the local ring of P on X, and let D be the module of derivations of R into itself.  If R is D-simple, then P need not be anymore a normal point. We give a necessary and sufficient condition for P to be normal.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/31969Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 8, núm. 1 (1974); 1-5 0034-7426Lequain, Ives (1974) Differential simplicity and a criterion for normality. Revista Colombiana de Matemáticas; Vol. 8, núm. 1 (1974); 1-5 0034-7426 .Differential simplicity and a criterion for normalityArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTAlgebraic varietylocal ringnoetherian schemeORIGINAL31969-117128-1-PB.pdfapplication/pdf1494218https://repositorio.unal.edu.co/bitstream/unal/42347/1/31969-117128-1-PB.pdf8f98fc000238027936e54db1794f55baMD51THUMBNAIL31969-117128-1-PB.pdf.jpg31969-117128-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg8184https://repositorio.unal.edu.co/bitstream/unal/42347/2/31969-117128-1-PB.pdf.jpgf685847aec80b1203520e08374309759MD52unal/42347oai:repositorio.unal.edu.co:unal/423472024-02-04 23:06:50.931Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Differential simplicity and a criterion for normality
title Differential simplicity and a criterion for normality
spellingShingle Differential simplicity and a criterion for normality
Algebraic variety
local ring
noetherian scheme
title_short Differential simplicity and a criterion for normality
title_full Differential simplicity and a criterion for normality
title_fullStr Differential simplicity and a criterion for normality
title_full_unstemmed Differential simplicity and a criterion for normality
title_sort Differential simplicity and a criterion for normality
dc.creator.fl_str_mv Lequain, Ives
dc.contributor.author.spa.fl_str_mv Lequain, Ives
dc.subject.proposal.spa.fl_str_mv Algebraic variety
local ring
noetherian scheme
topic Algebraic variety
local ring
noetherian scheme
description Let P be a point on an algebraic variety V over a ground field k. Let R be the local ring of P on V, and let   D be the module of derivations of R into itself. If R is D-simple,  then P is a normal point. Let P be a point on a noetherian scheme X.  Let R he the local ring of P on X, and let D be the module of derivations of R into itself.  If R is D-simple, then P need not be anymore a normal point. We give a necessary and sufficient condition for P to be normal.
publishDate 1974
dc.date.issued.spa.fl_str_mv 1974
dc.date.accessioned.spa.fl_str_mv 2019-06-28T10:44:47Z
dc.date.available.spa.fl_str_mv 2019-06-28T10:44:47Z
dc.type.spa.fl_str_mv Artículo de revista
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url https://repositorio.unal.edu.co/handle/unal/42347
http://bdigital.unal.edu.co/32444/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/31969
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 8, núm. 1 (1974); 1-5 0034-7426
dc.relation.references.spa.fl_str_mv Lequain, Ives (1974) Differential simplicity and a criterion for normality. Revista Colombiana de Matemáticas; Vol. 8, núm. 1 (1974); 1-5 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
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dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
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dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
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