The Spectrum of a Module Category

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How researchers see this paper

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On the Infinite Radical of a Module Category (2000, background): “Parts (i) and (iv) of the next proposition seem to be folklore (see for example [19]).”
Smashing subcategories and the telescope conjecture – an algebraic approach (2000, methodology): “We refer to [18] for a detailed discussion of both topologies in the context of modules over a ring.”
Cohen-Macaulay modules, (co)torsion pairs and virtually Gorenstein algebras (2005, background): “Then lim −→F is definable by [43], and thick since the stable category lim −→F is thick.”
Homological and Homotopical Aspects of Torsion Theories (2007, background): “And any module admits a special left Y-approximation, provided that Y is a coresolving subcategory which consists of pure-injective modules [78].”
Definable Additive Categories: Purity and Model Theory (2011, unknown): “A category is exactly definable (Krause [60]) if D ' Ex(A,Ab) for some (skeletally) small abelian category A.”
On algebras of finite Cohen-Macaulay type (2011, background): “Then by [53] condition (b) implies that H “ lim ÝÑ ω, so H is locally finitely presented.”
Deformation theory of abelian categories (2004, background): “[13] An object C in an abelian category C is called fp-injective provided that a monomorphism X −→ Y between finitely presented objects induces an epimorphism C(Y,C) −→ C(X,C).”