In a triangulated category equipped with a $ t $-structure, we investigate a relation between
ICE-closed (= Image-Cokernel-Extension-closed) subcategories of the heart of the $ t …

We show that if $\alpha $ is a regular cardinal, $\mathcal {D} $ is an $\alpha $-compactly
generated triangulated category, in the sense of Neeman\cite {N}, and $\tau $ is a t-structure …

We study Auslander-Reiten theory in proper abelian subcategories of triangulated
categories with a Serre functor. To initiate this, we use approximations of a Serre functor to …

In this paper, we classify several subcategories of the category of coherent sheaves on a
divisorial noetherian scheme (eg a quasi-projective scheme over a commutative noetherian …

Let R be a ring and N≥ 2. First, we prove that any deconstructible class of modules F over R
induces two coreflective subcategories of the homotopy category KN (Mod-R) of …

We introduce the notion of ICE sequences to investigate t-structures on the bounded derived
category of the module categories modΛ over a finite dimensional algebra Λ. We give a …