The model-theoretic investigation of modules has led to ideas, techniques and results which
are of algebraic interest, irrespective of their model-theoretic significance. It is these aspects …

We give an overview of recent developments in silting theory. After an introduction on torsion
pairs in triangulated categories, we discuss and compare different notions of silting and …

Mutation of compact silting objects is a fundamental operation in the representation theory of
finite-dimensional algebras due to its connections to cluster theory and to the lattice of …

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 give criteria for subcategories of a compactly generated algebraic triangulated category
to be precovering or preenveloping. These criteria are formulated in terms of closure …

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 …

In the derived category of a commutative noetherian ring, we explicitly construct a silting
object associated with each sp-filtration of the Zariski spectrum satisfying the “slice” …

Every cotilting module over a ring R induces a t-structure with a Grothendieck heart in the
derived category D (Mod-R). We determine the simple objects in this heart and their injective …

We classify all compactly generated t-structures in the unbounded derived category of an
arbitrary commutative ring, generalizing the result of Alonso Tarrío et al.(J Algebra 324 (3) …

We investigate parametrizations of compactly generated t-structures, or more generally, t-
structures with a definable coaisle, in the unbounded derived category $\mathrm …