. "5" . . "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 . "140" . . . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "0002-9939" . "Proceedings of the American Mathematical Society" . . . . . "P(LC505)" . . . "Bazzoni, Silvana" . "FLAT MITTAG-LEFFLER MODULES OVER COUNTABLE RINGS"@en . . . "RIV/00216208:11320/12:10130568" . "Ext-orthogonal classes; precovers; Flat Mittag-Leffler modules"@en . "136760" . "7"^^ . "2"^^ . "11320" . "FLAT MITTAG-LEFFLER MODULES OVER COUNTABLE RINGS" . "1"^^ . . "RIV/00216208:11320/12:10130568!RIV13-MSM-11320___" . "\u0160\u0165ov\u00ED\u010Dek, Jan" . "FLAT MITTAG-LEFFLER MODULES OVER COUNTABLE RINGS"@en . . . "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." . "000302837100006" . "FLAT MITTAG-LEFFLER MODULES OVER COUNTABLE RINGS" . "[4981D7BC6A29]" . .