About: FLAT MITTAG-LEFFLER MODULES OVER COUNTABLE RINGS

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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. (en)
Title	FLAT MITTAG-LEFFLER MODULES OVER COUNTABLE RINGS FLAT MITTAG-LEFFLER MODULES OVER COUNTABLE RINGS (en)
skos:prefLabel	FLAT MITTAG-LEFFLER MODULES OVER COUNTABLE RINGS FLAT MITTAG-LEFFLER MODULES OVER COUNTABLE RINGS (en)
skos:notation	RIV/00216208:11320/12:10130568!RIV13-MSM-11320___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(LC505)
http://linked.open...iv/cisloPeriodika	5
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Šťovíček, Jan
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	136760
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/12:10130568
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Ext-orthogonal classes; precovers; Flat Mittag-Leffler modules (en)
http://linked.open.../riv/klicoveSlovo	Ext-orthogonal classes Flat Mittag-Leffler modules precovers
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[4981D7BC6A29]
http://linked.open...i/riv/nazevZdroje	Proceedings of the American Mathematical Society
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Eduard Čech Center for Algebra and Geometry
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	140
http://linked.open...iv/tvurceVysledku	Šťovíček, Jan Bazzoni, Silvana
http://linked.open...ain/vavai/riv/wos	000302837100006
issn	0002-9939
number of pages	7 (xsd:int)
http://localhost/t...ganizacniJednotka	11320

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