"000337870000011" . . "218" . . "11320" . "Cotilting modules over commutative Noetherian rings"@en . "Cotilting modules over commutative Noetherian rings"@en . . "2"^^ . . . "NL - Nizozemsko" . "rings; Noetherian; commutative; modules; Cotilting"@en . . "RIV/00216208:11320/14:10285292" . "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." . "RIV/00216208:11320/14:10285292!RIV15-MSM-11320___" . . . . . "Journal of Pure and Applied Algebra" . . . . . "9" . "[6BC5FF3225A4]" . "\u0160\u0165ov\u00ED\u010Dek, Jan" . "http://dx.doi.org/10.1016/j.jpaa.2014.01.008" . "Herbera, Dolors" . . . "Trlifaj, Jan" . "9082" . . "10.1016/j.jpaa.2014.01.008" . "Cotilting modules over commutative Noetherian rings" . "3"^^ . . "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 . "Cotilting modules over commutative Noetherian rings" . . "I, P(GBP201/12/G028)" . "0022-4049" . "16"^^ .