Normalization of Rings
- Autores
- Greuel, Gert Martin; Laplagne, Santiago Jorge; Seelisch, Frank
- Año de publicación
- 2010
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We present a new algorithm to compute the integral closure of a reduced Noetherian ring in its total ring of fractions. A modification, applicable in positive characteristic, where actually all computations are over the original ring, is also described. The new algorithm of this paper has been implemented in Singular, for localizations of affine rings with respect to arbitrary monomial orderings. Benchmark tests show that it is in general much faster than any other implementation of normalization algorithms known to us.
Fil: Greuel, Gert Martin. University of Kaiserslautern; Alemania
Fil: Laplagne, Santiago Jorge. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Seelisch, Frank. University of Kaiserslautern; Alemania - Materia
-
Normalization
Integral Closure
Test Ideal
Grauert-Remmert Criterion - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/16532
Ver los metadatos del registro completo
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Normalization of RingsGreuel, Gert MartinLaplagne, Santiago JorgeSeelisch, FrankNormalizationIntegral ClosureTest IdealGrauert-Remmert Criterionhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We present a new algorithm to compute the integral closure of a reduced Noetherian ring in its total ring of fractions. A modification, applicable in positive characteristic, where actually all computations are over the original ring, is also described. The new algorithm of this paper has been implemented in Singular, for localizations of affine rings with respect to arbitrary monomial orderings. Benchmark tests show that it is in general much faster than any other implementation of normalization algorithms known to us.Fil: Greuel, Gert Martin. University of Kaiserslautern; AlemaniaFil: Laplagne, Santiago Jorge. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Seelisch, Frank. University of Kaiserslautern; AlemaniaElsevier2010-08info: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/11336/16532Greuel, Gert Martin; Laplagne, Santiago Jorge; Seelisch, Frank; Normalization of Rings; Elsevier; Journal Of Symbolic Computation; 45; 9; 8-2010; 887-9010747-7171enginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.jsc.2010.04.002info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0747717110000611info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:35:41Zoai:ri.conicet.gov.ar:11336/16532instacron: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 09:35:41.495CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Normalization of Rings |
title |
Normalization of Rings |
spellingShingle |
Normalization of Rings Greuel, Gert Martin Normalization Integral Closure Test Ideal Grauert-Remmert Criterion |
title_short |
Normalization of Rings |
title_full |
Normalization of Rings |
title_fullStr |
Normalization of Rings |
title_full_unstemmed |
Normalization of Rings |
title_sort |
Normalization of Rings |
dc.creator.none.fl_str_mv |
Greuel, Gert Martin Laplagne, Santiago Jorge Seelisch, Frank |
author |
Greuel, Gert Martin |
author_facet |
Greuel, Gert Martin Laplagne, Santiago Jorge Seelisch, Frank |
author_role |
author |
author2 |
Laplagne, Santiago Jorge Seelisch, Frank |
author2_role |
author author |
dc.subject.none.fl_str_mv |
Normalization Integral Closure Test Ideal Grauert-Remmert Criterion |
topic |
Normalization Integral Closure Test Ideal Grauert-Remmert Criterion |
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 present a new algorithm to compute the integral closure of a reduced Noetherian ring in its total ring of fractions. A modification, applicable in positive characteristic, where actually all computations are over the original ring, is also described. The new algorithm of this paper has been implemented in Singular, for localizations of affine rings with respect to arbitrary monomial orderings. Benchmark tests show that it is in general much faster than any other implementation of normalization algorithms known to us. Fil: Greuel, Gert Martin. University of Kaiserslautern; Alemania Fil: Laplagne, Santiago Jorge. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Fil: Seelisch, Frank. University of Kaiserslautern; Alemania |
description |
We present a new algorithm to compute the integral closure of a reduced Noetherian ring in its total ring of fractions. A modification, applicable in positive characteristic, where actually all computations are over the original ring, is also described. The new algorithm of this paper has been implemented in Singular, for localizations of affine rings with respect to arbitrary monomial orderings. Benchmark tests show that it is in general much faster than any other implementation of normalization algorithms known to us. |
publishDate |
2010 |
dc.date.none.fl_str_mv |
2010-08 |
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/11336/16532 Greuel, Gert Martin; Laplagne, Santiago Jorge; Seelisch, Frank; Normalization of Rings; Elsevier; Journal Of Symbolic Computation; 45; 9; 8-2010; 887-901 0747-7171 |
url |
http://hdl.handle.net/11336/16532 |
identifier_str_mv |
Greuel, Gert Martin; Laplagne, Santiago Jorge; Seelisch, Frank; Normalization of Rings; Elsevier; Journal Of Symbolic Computation; 45; 9; 8-2010; 887-901 0747-7171 |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jsc.2010.04.002 info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0747717110000611 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-nd/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Elsevier |
publisher.none.fl_str_mv |
Elsevier |
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_ |
1844613113647726592 |
score |
13.070432 |