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Description
  • We classify all tilting and cotilting classes over commutative noetherian rings in terms of descending sequences of specialization closed subsets of the Zariski spectrum. Consequently, all resolving subcategories of finitely generated modules of bounded projective dimension are classified. We also relate our results to Hochster's Conjecture on the existence of finitely generated maximal Cohen-Macaulay modules.
  • We classify all tilting and cotilting classes over commutative noetherian rings in terms of descending sequences of specialization closed subsets of the Zariski spectrum. Consequently, all resolving subcategories of finitely generated modules of bounded projective dimension are classified. We also relate our results to Hochster's Conjecture on the existence of finitely generated maximal Cohen-Macaulay modules. (en)
Title
  • TILTING, COTILTING, AND SPECTRA OF COMMUTATIVE NOETHERIAN RINGS
  • TILTING, COTILTING, AND SPECTRA OF COMMUTATIVE NOETHERIAN RINGS (en)
skos:prefLabel
  • TILTING, COTILTING, AND SPECTRA OF COMMUTATIVE NOETHERIAN RINGS
  • TILTING, COTILTING, AND SPECTRA OF COMMUTATIVE NOETHERIAN RINGS (en)
skos:notation
  • RIV/00216208:11320/14:10285310!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita
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  • I, P(GA201/09/0816), P(GD201/09/H012), P(GPP201/10/P084)
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  • 7
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  • 50531
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  • RIV/00216208:11320/14:10285310
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  • Cohen-Macaulay module; Zariski spectrum; cotilting module; tilting module; Commutative noetherian ring (en)
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  • US - Spojené státy americké
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  • [504E176BFAEF]
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  • Transactions of the American Mathematical Society
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  • 366
http://linked.open...iv/tvurceVysledku
  • Šťovíček, Jan
  • Trlifaj, Jan
  • Pospíšil, David
  • Angeleri Huegel, Lidia
http://linked.open...ain/vavai/riv/wos
  • 000337230700007
issn
  • 0002-9947
number of pages
http://bibframe.org/vocab/doi
  • 10.1090/S0002-9947-2014-05904-7
http://localhost/t...ganizacniJednotka
  • 11320
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