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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)
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Title
| - Cotilting modules over commutative Noetherian rings
- Cotilting modules over commutative Noetherian rings (en)
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skos:prefLabel
| - Cotilting modules over commutative Noetherian rings
- Cotilting modules over commutative Noetherian rings (en)
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skos:notation
| - RIV/00216208:11320/14:10285292!RIV15-MSM-11320___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/00216208:11320/14:10285292
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - rings; Noetherian; commutative; modules; Cotilting (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Journal of Pure and Applied Algebra
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Šťovíček, Jan
- Trlifaj, Jan
- Herbera, Dolors
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http://linked.open...ain/vavai/riv/wos
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issn
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number of pages
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http://bibframe.org/vocab/doi
| - 10.1016/j.jpaa.2014.01.008
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http://localhost/t...ganizacniJednotka
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