Chistensen, J DanielKeller, BernhardNeeman, Amnon2015-12-130040-9383http://hdl.handle.net/1885/94180Let T be a triangulated category with coproducts, Tc⊂T the full subcategory of compact objects in T. If T is the homotopy category of spectra, Adams (Topology 10 (1971) 185-198), proved the following: All homological functors {Tc}op→Ab are the restricKeywords: Brown representability; Derived category; Hereditary ring; Pure global dimension; PurityFailure of Brown representability in derived categories200110.1016/S0040-9383(00)00015-X2015-12-12