On ideals of minors fixing a submatrix

Detalhes bibliográficos
Autor(a) principal: Andrade, J. F.
Data de Publicação: 1986
Outros Autores: Simis, A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://www.repositorio.ufba.br/ri/handle/ri/8369
Resumo: Texto completo . Acesso restrito. p. 246–259
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spelling Andrade, J. F.Simis, A.Andrade, J. F.Simis, A.2013-02-05T18:40:30Z2013-02-05T18:40:30Z19860021-8693http://www.repositorio.ufba.br/ri/handle/ri/8369v. 102, n. 1Texto completo . Acesso restrito. p. 246–259Let & be a n x m matrix with entries in a noetherian ring R and let A’ be the submatrix of JY consisting of the first r columns (r < n - 1). Consider the ideal J,(A) of n x n minors of J! involving the columns of J/Z’. We obtain the primary decomposition and the homological dimension of J,(d) in the generic case. The proofs rely heavily on the methods and the theory of weak d-sequences and straightening laws. As a byproduct we obtain exact conditions under which Jr(d) is generated by a d-sequence and also a complete picture of the blowing-up algebras of J,(d) in that case. The latter proofs rely on recent methods developed by several authors such as those of sliding-depth, approximation complexes, Cohen-Macaulay residual intersections. To close the discussion we construct a free resolution of J,(d) when m=n+ 1 (the case r =n- 1 had been treated before by the present authors). A side curiosity herein obtained is an example of a nonperfect radical 3-generated ideal of codimension 2 whose associated graded ring is a Cohen-Macaulay reduced ring that is not Gorenstein. Examples of this sort do not seem to abound.Submitted by Santiago Fabio (fabio.ssantiago@hotmail.com) on 2013-02-05T18:40:30Z No. of bitstreams: 1 777.pdf: 720045 bytes, checksum: fda16269e8934c7393e35baa46f2fba5 (MD5)Made available in DSpace on 2013-02-05T18:40:30Z (GMT). No. of bitstreams: 1 777.pdf: 720045 bytes, checksum: fda16269e8934c7393e35baa46f2fba5 (MD5) Previous issue date: 1986SalvadorJournal of Algebrahttp://dx.doi.org/10.1016/0021-8693(86)90140-7reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAOn ideals of minors fixing a submatrixJournal of Algebrainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleenginfo:eu-repo/semantics/openAccessORIGINAL777.pdf777.pdfapplication/pdf720045https://repositorio.ufba.br/bitstream/ri/8369/1/777.pdffda16269e8934c7393e35baa46f2fba5MD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/8369/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXT777.pdf.txt777.pdf.txtExtracted texttext/plain28931https://repositorio.ufba.br/bitstream/ri/8369/3/777.pdf.txtb00c8d746fbad98bdc0e9bd04aac0448MD53ri/83692022-08-26 11:02:31.563oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-08-26T14:02:31Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv On ideals of minors fixing a submatrix
dc.title.alternative.pt_BR.fl_str_mv Journal of Algebra
title On ideals of minors fixing a submatrix
spellingShingle On ideals of minors fixing a submatrix
Andrade, J. F.
title_short On ideals of minors fixing a submatrix
title_full On ideals of minors fixing a submatrix
title_fullStr On ideals of minors fixing a submatrix
title_full_unstemmed On ideals of minors fixing a submatrix
title_sort On ideals of minors fixing a submatrix
author Andrade, J. F.
author_facet Andrade, J. F.
Simis, A.
author_role author
author2 Simis, A.
author2_role author
dc.contributor.author.fl_str_mv Andrade, J. F.
Simis, A.
Andrade, J. F.
Simis, A.
description Texto completo . Acesso restrito. p. 246–259
publishDate 1986
dc.date.issued.fl_str_mv 1986
dc.date.accessioned.fl_str_mv 2013-02-05T18:40:30Z
dc.date.available.fl_str_mv 2013-02-05T18:40:30Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://www.repositorio.ufba.br/ri/handle/ri/8369
dc.identifier.issn.none.fl_str_mv 0021-8693
dc.identifier.number.pt_BR.fl_str_mv v. 102, n. 1
identifier_str_mv 0021-8693
v. 102, n. 1
url http://www.repositorio.ufba.br/ri/handle/ri/8369
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Journal of Algebra
publisher.none.fl_str_mv Journal of Algebra
dc.source.pt_BR.fl_str_mv http://dx.doi.org/10.1016/0021-8693(86)90140-7
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