A note on jacobson rings and polynomial rings

Detalhes bibliográficos
Autor(a) principal: Ferrero, Miguel Angel Alberto
Data de Publicação: 1989
Outros Autores: Parmenter, Michael M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/27483
Resumo: As is well known, if R is a ring in which every prime ideal is an intersection of primitive ideals, the same is true of R[X] . The purpose of this paper is to give a general theorem which shows that the above result remains true when rnany other classes of prime ideals are considered in place of prirnitive ideals.
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spelling Ferrero, Miguel Angel AlbertoParmenter, Michael M.2011-01-26T05:59:08Z19890002-9939http://hdl.handle.net/10183/27483000017580As is well known, if R is a ring in which every prime ideal is an intersection of primitive ideals, the same is true of R[X] . The purpose of this paper is to give a general theorem which shows that the above result remains true when rnany other classes of prime ideals are considered in place of prirnitive ideals.application/pdfengProceedings of the American Mathematical Society. Providence, RI. Vol. 105, no. 2 (feb. 1989), p. 281-286.Ideais primosAnéis polinomiaisAneis jacobianosAneis associativosA note on jacobson rings and polynomial ringsEstrangeiroinfo: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:UFRGSORIGINAL000017580.pdf000017580.pdfTexto completo (inglês)application/pdf158022http://www.lume.ufrgs.br/bitstream/10183/27483/1/000017580.pdff802aebdfafed319dccf55e8cbd8db57MD51TEXT000017580.pdf.txt000017580.pdf.txtExtracted Texttext/plain16097http://www.lume.ufrgs.br/bitstream/10183/27483/2/000017580.pdf.txtc75a06e199d32bc7ac509d1fb2cfe37cMD52THUMBNAIL000017580.pdf.jpg000017580.pdf.jpgGenerated Thumbnailimage/jpeg1714http://www.lume.ufrgs.br/bitstream/10183/27483/3/000017580.pdf.jpg88959b39bb37bb46b3d5207c13de382dMD5310183/274832021-06-26 04:46:16.635832oai:www.lume.ufrgs.br:10183/27483Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2021-06-26T07:46:16Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv A note on jacobson rings and polynomial rings
title A note on jacobson rings and polynomial rings
spellingShingle A note on jacobson rings and polynomial rings
Ferrero, Miguel Angel Alberto
Ideais primos
Anéis polinomiais
Aneis jacobianos
Aneis associativos
title_short A note on jacobson rings and polynomial rings
title_full A note on jacobson rings and polynomial rings
title_fullStr A note on jacobson rings and polynomial rings
title_full_unstemmed A note on jacobson rings and polynomial rings
title_sort A note on jacobson rings and polynomial rings
author Ferrero, Miguel Angel Alberto
author_facet Ferrero, Miguel Angel Alberto
Parmenter, Michael M.
author_role author
author2 Parmenter, Michael M.
author2_role author
dc.contributor.author.fl_str_mv Ferrero, Miguel Angel Alberto
Parmenter, Michael M.
dc.subject.por.fl_str_mv Ideais primos
Anéis polinomiais
Aneis jacobianos
Aneis associativos
topic Ideais primos
Anéis polinomiais
Aneis jacobianos
Aneis associativos
description As is well known, if R is a ring in which every prime ideal is an intersection of primitive ideals, the same is true of R[X] . The purpose of this paper is to give a general theorem which shows that the above result remains true when rnany other classes of prime ideals are considered in place of prirnitive ideals.
publishDate 1989
dc.date.issued.fl_str_mv 1989
dc.date.accessioned.fl_str_mv 2011-01-26T05:59:08Z
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dc.language.iso.fl_str_mv eng
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dc.relation.ispartof.pt_BR.fl_str_mv Proceedings of the American Mathematical Society. Providence, RI. Vol. 105, no. 2 (feb. 1989), p. 281-286.
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