Let R be an associative ring. This monograph deals with the right R-modules MR whose
endomorphism ring End (MR) is semilocal. More generally, let A be any preadditive …

We explore the interplay between t‐structures in the bounded derived category of finitely
presented modules and the unbounded derived category of all modules over a coherent ring …

We study when the heart of at-structure in a triangulated category D with coproducts is AB5
or a Grothendieck category. If D satisfies Brown representability, at-structure has an AB5 …

We study the classes of modules which are generated by a silting module. In the case of
either hereditary or perfect rings, it is proved that these are exactly the torsion T such that the …

1. Introduction Page 1 Publ. Mat. 64 (2020), 543–562 DOI: 10.5565/PUBLMAT6422007 THE
ASCENT-DESCENT PROPERTY FOR 2-TERM SILTING COMPLEXES Simion Breaz Abstract …

In a compactly generated triangulated category, we introduce a class of tilting objects
satisfying a certain purity condition. We call these the decent tilting objects and show that the …

We consider an arbitrary Abelian category A and a subcategory T closed under extensions
and direct summands, and characterize those T that are (semi-) special preenveloping in A; …

In this paper we revisit the problem of determining when the heart of a t-structure is a
Grothendieck category, with special attention to the case of the Happel-Reiten-Smal …

It is well known that a partial tilting module may not be completed to a tilting module.
However, it is still unknown whether a partial tilting module can be completed to a silting …

Torsion pairs were introduced by Dickson in 1966 as a generalization of the concept of
torsion abelian group to arbitrary abelian categories. Using torsion pairs, we can divide …