Prime ideals in polinomial rings in several indeterminates

Detalhes bibliográficos
Autor(a) principal: Ferrero, Miguel Angel Alberto
Data de Publicação: 1997
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/27486
Resumo: If P is a prime ideal of a polynomial ring K[x], where K is a field, then P is determined by an irreducible polynomial in K[x]. The purpose of this paper is to show that any prime ideal of a polynomial ring in n-indeterminates over a not necessarily commutative ring R is determined by its intersection with R plus n polynomials.
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spelling Ferrero, Miguel Angel Alberto2011-01-26T05:59:12Z19970002-9939http://hdl.handle.net/10183/27486000098005If P is a prime ideal of a polynomial ring K[x], where K is a field, then P is determined by an irreducible polynomial in K[x]. The purpose of this paper is to show that any prime ideal of a polynomial ring in n-indeterminates over a not necessarily commutative ring R is determined by its intersection with R plus n polynomials.application/pdfengProceedings of the American Mathematical Society. Providence, RI. Vol. 125, no. 1 (jan. 1997), p. 67-74.Ideais primos : Aneis polinomiaisPrime ideals in polinomial rings in several indeterminatesEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSORIGINAL000098005.pdf000098005.pdfTexto completo (inglês)application/pdf196394http://www.lume.ufrgs.br/bitstream/10183/27486/1/000098005.pdf00a0b7e6ef552254d6f11259704c8d43MD51TEXT000098005.pdf.txt000098005.pdf.txtExtracted Texttext/plain21787http://www.lume.ufrgs.br/bitstream/10183/27486/2/000098005.pdf.txt7b956d50ff82856aaaeb5b74ad62aec8MD52THUMBNAIL000098005.pdf.jpg000098005.pdf.jpgGenerated Thumbnailimage/jpeg1590http://www.lume.ufrgs.br/bitstream/10183/27486/3/000098005.pdf.jpgc69f367993bb5163061912a16b471597MD5310183/274862021-06-26 04:43:05.736447oai:www.lume.ufrgs.br:10183/27486Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2021-06-26T07:43:05Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Prime ideals in polinomial rings in several indeterminates
title Prime ideals in polinomial rings in several indeterminates
spellingShingle Prime ideals in polinomial rings in several indeterminates
Ferrero, Miguel Angel Alberto
Ideais primos : Aneis polinomiais
title_short Prime ideals in polinomial rings in several indeterminates
title_full Prime ideals in polinomial rings in several indeterminates
title_fullStr Prime ideals in polinomial rings in several indeterminates
title_full_unstemmed Prime ideals in polinomial rings in several indeterminates
title_sort Prime ideals in polinomial rings in several indeterminates
author Ferrero, Miguel Angel Alberto
author_facet Ferrero, Miguel Angel Alberto
author_role author
dc.contributor.author.fl_str_mv Ferrero, Miguel Angel Alberto
dc.subject.por.fl_str_mv Ideais primos : Aneis polinomiais
topic Ideais primos : Aneis polinomiais
description If P is a prime ideal of a polynomial ring K[x], where K is a field, then P is determined by an irreducible polynomial in K[x]. The purpose of this paper is to show that any prime ideal of a polynomial ring in n-indeterminates over a not necessarily commutative ring R is determined by its intersection with R plus n polynomials.
publishDate 1997
dc.date.issued.fl_str_mv 1997
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dc.relation.ispartof.pt_BR.fl_str_mv Proceedings of the American Mathematical Society. Providence, RI. Vol. 125, no. 1 (jan. 1997), p. 67-74.
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