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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F14%3A10285310%21RIV15-MSM-11320___
rdf:type
skos:Concept n19:Vysledek
dcterms: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.
dcterms:title
TILTING, COTILTING, AND SPECTRA OF COMMUTATIVE NOETHERIAN RINGS TILTING, COTILTING, AND SPECTRA OF COMMUTATIVE NOETHERIAN RINGS
skos:prefLabel
TILTING, COTILTING, AND SPECTRA OF COMMUTATIVE NOETHERIAN RINGS TILTING, COTILTING, AND SPECTRA OF COMMUTATIVE NOETHERIAN RINGS
skos:notation
RIV/00216208:11320/14:10285310!RIV15-MSM-11320___
n3:aktivita
n16:P n16:I
n3:aktivity
I, P(GA201/09/0816), P(GD201/09/H012), P(GPP201/10/P084)
n3:cisloPeriodika
7
n3:dodaniDat
n14:2015
n3:domaciTvurceVysledku
n4:6265219 n4:8562296 n4:1138146
n3:druhVysledku
n11:J
n3:duvernostUdaju
n17:S
n3:entitaPredkladatele
n15:predkladatel
n3:idSjednocenehoVysledku
50531
n3:idVysledku
RIV/00216208:11320/14:10285310
n3:jazykVysledku
n12:eng
n3:klicovaSlova
Cohen-Macaulay module; Zariski spectrum; cotilting module; tilting module; Commutative noetherian ring
n3:klicoveSlovo
n9:Zariski%20spectrum n9:Commutative%20noetherian%20ring n9:tilting%20module n9:cotilting%20module n9:Cohen-Macaulay%20module
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[504E176BFAEF]
n3:nazevZdroje
Transactions of the American Mathematical Society
n3:obor
n7:BA
n3:pocetDomacichTvurcuVysledku
3
n3:pocetTvurcuVysledku
4
n3:projekt
n8:GA201%2F09%2F0816 n8:GD201%2F09%2FH012 n8:GPP201%2F10%2FP084
n3:rokUplatneniVysledku
n14:2014
n3:svazekPeriodika
366
n3:tvurceVysledku
Trlifaj, Jan Pospíšil, David Angeleri Huegel, Lidia Šťovíček, Jan
n3:wos
000337230700007
s:issn
0002-9947
s:numberOfPages
31
n10:doi
10.1090/S0002-9947-2014-05904-7
n18:organizacniJednotka
11320