How To Make Ext Vanish

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Homological and Homotopical Aspects of Torsion Theories (2007, unknown): “More generally by [45], if A ⊆ Mod(Λ) is any skeletally small subcategory, then (⊥(A⊥),A⊥) is a cotorsion pair in Mod(Λ).”
Tilting theory and the finitistic dimension conjectures (2002, methodology): “In Section 1, we review basic properties of Ext-orthogonal classes, complete cotorsion pairs and tilting modules following [1] and [9].”
Covers and Directed Colimits (2006, methodology): “One was given by Enochs, who used results of [4], the”
Some adjoints in homotopy categories (2010, background): “For the uninitiated reader: the Flat Cover Conjecture was an open problem for about twenty years until being proved, around 2000, by Eklof and Trlifaj [2] and by Bican, El Bashir and Enochs [1].”
Kaplansky classes and derived categories (2007, background): “Armed with this perspective one can see similarities between the proof in [ 7 ] to Quillen’s proof of his small object argument.”
Exact model categories, approximation theory, and cohomology of quasi-coherent sheaves (2013, methodology): “To underline the significance of this type of result, we note that [15] was one of the starting points of the monograph [32], which discusses various results and techniques to study infinitely generated modules.”