Homological theory of recollements of abelian categories

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Realisation functors in tilting theory (2015, background): “Moreover, it can also be shown (see, for example, [16] and [69]) that for a recollement of triangulated categories Rtr(U,T,V), for every object X in T, the remaining units and the counits of the adjunctions induce triangles”
Higher Nakayama algebras I: Construction (2016, background): “and sends projective objects in to projective objects in B, this yields an epimorphism i (P) ii(Y) ˘=Y. This shows that B has enough projectives. (ii) According to Theorem 3.9 and Proposition 3.3 in [Psa14], for the morphism i: B !A to be an m-homological embedding is equivalent to Extj A(F(P);i(B))”
Gorenstein categories, singular equivalences and finite generation of cohomology rings in recollements (2014, methodology): “fully faithful. 4. Imi= Kere. In the next result we collect some basic properties of a recollement situation of abelian categories that can be derived easily from Deﬁnition 2.1. For more details, see [32, 54]. Proposition 2.2. Let (A,B,C) be a recollement of abelian categories. Then the following ho”
On Artin Algebras Arising from Morita Contexts (2013, background): “This result is a special case of a more general statement in [32], see also [33].”
Gorenstein Homological Aspects of Monomorphism Categories via Morita Rings (2015, background): “For more details on homological embeddings between abelian categories we refer to [36].”