A sufficient condition for the existence of recollements of functor categories is provided.
Using this criterion, we show that a recollement of rings induces a recollement of their path …

This paper is devoted to the study of recollements of functor categories in different levels. In
the first part of the paper, we start with a small category 𝒮 S and a maximal object s of 𝒮 S …

We prove that for a large class of well-behaved cocomplete categories C the weak and
strong Drinfeld centers of the monoidal category E of cocontinuous endofunctors of C …

For a compactly generated triangulated category we gives a new proof for the fact that the
category of modules over its subcategory consisting of all compact objects it is not only the …

The paper is devoted to study some of the questions arises naturally in connection to the
notion of relative derived categories. In particular, we study invariants of recollements …

Let R be a ring and Q be a quiver. We study the homotopy categories K (PrjQ) and K (InjQ)
consisting, respectively, of projective and injective representations of Q by R-modules. We …

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The derived category D [C, V] of the Grothendieck category of enriched functors [C, V], where
V is a closed symmetric monoidal Grothendieck category and C is a small V-category, is …

We consider the smallest triangulated subcategory of the unbounded derived module
category of a ring that contains the injective modules and is closed under set indexed …

Every Serre subcategory S of an abelian category A is assigned a unique type (m,− n),
where m (resp. n) counts how many times one can form left (resp. right) adjoints starting from …