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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F12%3A10130568%21RIV13-MSM-11320___
rdf:type
skos:Concept n16:Vysledek
dcterms:description
We show that over any ring, the double Ext-orthogonal class to all flat Mittag-Leffler modules contains all countable direct limits of flat Mittag-Leffler modules. If the ring is countable, then the double orthogonal class consists precisely of all flat modules, and we deduce, using a recent result of Saroch and Trlifaj, that the class of flat Mittag-Leffler modules is not precovering in Mod-R unless R is right perfect. We show that over any ring, the double Ext-orthogonal class to all flat Mittag-Leffler modules contains all countable direct limits of flat Mittag-Leffler modules. If the ring is countable, then the double orthogonal class consists precisely of all flat modules, and we deduce, using a recent result of Saroch and Trlifaj, that the class of flat Mittag-Leffler modules is not precovering in Mod-R unless R is right perfect.
dcterms:title
FLAT MITTAG-LEFFLER MODULES OVER COUNTABLE RINGS FLAT MITTAG-LEFFLER MODULES OVER COUNTABLE RINGS
skos:prefLabel
FLAT MITTAG-LEFFLER MODULES OVER COUNTABLE RINGS FLAT MITTAG-LEFFLER MODULES OVER COUNTABLE RINGS
skos:notation
RIV/00216208:11320/12:10130568!RIV13-MSM-11320___
n16:predkladatel
n18:orjk%3A11320
n3:aktivita
n8:P
n3:aktivity
P(LC505)
n3:cisloPeriodika
5
n3:dodaniDat
n12:2013
n3:domaciTvurceVysledku
n14:1138146
n3:druhVysledku
n5:J
n3:duvernostUdaju
n19:S
n3:entitaPredkladatele
n13:predkladatel
n3:idSjednocenehoVysledku
136760
n3:idVysledku
RIV/00216208:11320/12:10130568
n3:jazykVysledku
n10:eng
n3:klicovaSlova
Ext-orthogonal classes; precovers; Flat Mittag-Leffler modules
n3:klicoveSlovo
n4:Ext-orthogonal%20classes n4:Flat%20Mittag-Leffler%20modules n4:precovers
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[4981D7BC6A29]
n3:nazevZdroje
Proceedings of the American Mathematical Society
n3:obor
n15:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n7:LC505
n3:rokUplatneniVysledku
n12:2012
n3:svazekPeriodika
140
n3:tvurceVysledku
Bazzoni, Silvana Šťovíček, Jan
n3:wos
000302837100006
s:issn
0002-9939
s:numberOfPages
7
n17:organizacniJednotka
11320