Normalization of rings

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 imple...

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Detalles Bibliográficos
Autor principal: Laplagne, Santiago Jorge
Publicado: 2010
Materias:
Grauert-Remmert criterion
Integral closure
Normalization
Test ideal
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_07477171_v45_n9_p887_Greuel
http://hdl.handle.net/20.500.12110/paper_07477171_v45_n9_p887_Greuel
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_07477171_v45_n9_p887_Greuel
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spelling paper:paper_07477171_v45_n9_p887_Greuel2023-06-08T15:45:10Z Normalization of rings Laplagne, Santiago Jorge Grauert-Remmert criterion Integral closure Normalization Test ideal 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. © 2010 Elsevier Ltd. Fil:Laplagne, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2010 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_07477171_v45_n9_p887_Greuel http://hdl.handle.net/20.500.12110/paper_07477171_v45_n9_p887_Greuel
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Grauert-Remmert criterion
Integral closure
Normalization
Test ideal
spellingShingle Grauert-Remmert criterion
Integral closure
Normalization
Test ideal
Laplagne, Santiago Jorge
Normalization of rings
topic_facet Grauert-Remmert criterion
Integral closure
Normalization
Test ideal
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. © 2010 Elsevier Ltd.
author Laplagne, Santiago Jorge
author_facet Laplagne, Santiago Jorge
author_sort Laplagne, Santiago Jorge
title Normalization of rings
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
publishDate 2010
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_07477171_v45_n9_p887_Greuel
http://hdl.handle.net/20.500.12110/paper_07477171_v45_n9_p887_Greuel
work_keys_str_mv AT laplagnesantiagojorge normalizationofrings
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