About: Tilting and Cotilting Classes Over Gorenstein Rings     Goto   Sponge   NotDistinct   Permalink

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Description
  • Let R be a Gorenstein ring of Krull dimension n } 0. For each subset P of the set of all prime ideals of height } 0, we construct a tilting class T (P) and a cotilting class C (P) so that T (P) neq T (Q), and C (Q) neq C (Q), for all P neq Q. For the case of n=1 we prove that the classes T(P) are the only tilting classes of modules, that is, all tilting modules are equivalent to the Bass ones. We also prove the dual characterization for cotilting modules, which implies that all cotilting modules are hereditary in this case.
  • Let R be a Gorenstein ring of Krull dimension n } 0. For each subset P of the set of all prime ideals of height } 0, we construct a tilting class T (P) and a cotilting class C (P) so that T (P) neq T (Q), and C (Q) neq C (Q), for all P neq Q. For the case of n=1 we prove that the classes T(P) are the only tilting classes of modules, that is, all tilting modules are equivalent to the Bass ones. We also prove the dual characterization for cotilting modules, which implies that all cotilting modules are hereditary in this case. (en)
Title
  • Tilting and Cotilting Classes Over Gorenstein Rings
  • Tilting and Cotilting Classes Over Gorenstein Rings (en)
skos:prefLabel
  • Tilting and Cotilting Classes Over Gorenstein Rings
  • Tilting and Cotilting Classes Over Gorenstein Rings (en)
skos:notation
  • RIV/00216208:11320/09:10050008!RIV11-GA0-11320___
http://linked.open...avai/riv/aktivita
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  • P(GA201/06/0510), P(GD201/05/H005), Z(MSM0021620839)
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  • 346335
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  • RIV/00216208:11320/09:10050008
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  • Rings; Gorenstein; Over; Classes; Cotilting; and; Tilting (en)
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  • [82BE1F627BB7]
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  • Providence, USA
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  • 480
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  • Contemporary Mathematics
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  • Trlifaj, Jan
  • Pospíšil, David
http://linked.open...n/vavai/riv/zamer
number of pages
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  • Amer Mathematical Soc
https://schema.org/isbn
  • 978-0-8218-4370-3
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  • 11320
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