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Description
  • Recently, tilting and cotilting classes over commutative Noetherian rings have been classified. We proceed and, for each n-cotilting class C, construct an n-cotilting module inducing C by an iteration of injective precovers. A further refinement of the construction yields the unique minimal n-cotilting module inducing C. Finally, we consider localization: a cotilting module is called ample, if all of its localizations are cotilting. We prove that for each 1-cotilting class, there exists an ample cotilting module inducing it, but give an example of a 2-cotilting class which fails this property.
  • Recently, tilting and cotilting classes over commutative Noetherian rings have been classified. We proceed and, for each n-cotilting class C, construct an n-cotilting module inducing C by an iteration of injective precovers. A further refinement of the construction yields the unique minimal n-cotilting module inducing C. Finally, we consider localization: a cotilting module is called ample, if all of its localizations are cotilting. We prove that for each 1-cotilting class, there exists an ample cotilting module inducing it, but give an example of a 2-cotilting class which fails this property. (en)
Title
  • Cotilting modules over commutative Noetherian rings
  • Cotilting modules over commutative Noetherian rings (en)
skos:prefLabel
  • Cotilting modules over commutative Noetherian rings
  • Cotilting modules over commutative Noetherian rings (en)
skos:notation
  • RIV/00216208:11320/14:10285292!RIV15-MSM-11320___
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  • I, P(GBP201/12/G028)
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  • 9
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  • 9082
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  • RIV/00216208:11320/14:10285292
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  • rings; Noetherian; commutative; modules; Cotilting (en)
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  • NL - Nizozemsko
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  • [6BC5FF3225A4]
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  • Journal of Pure and Applied Algebra
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  • 218
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  • Šťovíček, Jan
  • Trlifaj, Jan
  • Herbera, Dolors
http://linked.open...ain/vavai/riv/wos
  • 000337870000011
issn
  • 0022-4049
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.jpaa.2014.01.008
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  • 11320
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