For a finite dimensional algebra $ A $ over a field $ k $, the 2-term silting complexes of $ A $
gives a simplicial complex $\Delta (A) $ called the\emph {$ g $-simplicial complex}. We give …

Contramodules are module-like algebraic structures endowed with infinite summation (or,
occasionally, integration) operations satisfying natural axioms. Introduced originally by …

A gentle algebra gives rise to a dissection of an oriented marked surface with boundary into
polygons and the bounded derived category of the gentle algebra has a geometric …

Let be a triangulated category with shift functor. Suppose is a co-t-structure with coheart and
extended coheart, which is an extriangulated category. We show that there is a bijection …

The aim of this thesis is to investigate definability in monoidal additive categories. Given a
monoidal finitely accessible category C, satisfying certain assumptions, we prove that there …

We study the transfer of (co) silting objects in derived categories of module categories via
the extension functors induced by a morphism of commutative rings. It is proved that the …

We show that any homotopically smashing t-structure in the derived category of a
commutative noetherian ring is compactly generated. This generalizes the validity of the …

We define duality triples and duality pairs in compactly generated triangulated categories
and investigate their properties. This enables us to give an elementary way to determine …

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

We establish connections between (co, weak) silting modules over a ring R and (co, weak)
silting modules over a trivial extension of R. As applications, we describe how to construct …