arXiv:2202.08861v3 [math.AG] 12 Nov 2022 Page 1 arXiv:2202.08861v3 [math.AG] 12 Nov 2022
BOUNDED T–STRUCTURES ON THE CATEGORY OF PERFECT COMPLEXES AMNON …

Let G be a Grothendieck category, let t=(T, F) be a torsion pair in G and let (U t, W t) be the
associated Happel–Reiten–Smalø t-structure in the derived category D (G). We prove that …

For an abelian category C and a filtrant preordered set Lambda, we prove that the derived
category of the quasi-abelian category of filtered objects in C indexed by Lambda is …

We show that compactly generated t-structures in the derived category of a commutative ring
R are in a bijection with certain families of compactly generated t-structures over the local …

In this paper, we introduce a class of exact structures in terms of finiteness conditions of
modules, which are called n-pure exact structures. We investigate the properties of n-pure …

This paper is devoted to constructing" new" admissible subcategories and semi-orthogonal
decompositions of triangulated categories out of" old" ones. For two triangulated …

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We study finiteness conditions in Grothendieck categories by introducing the concepts of
objects of type FP n and studying their closure properties with respect to short exact …

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 …

Given a noetherian abelian k-category of finite homological dimension, with a tilting object T
of projective dimension 2, the abelian category and the abelian category of modules over …