The bricks over preprojective algebras of type A are known to be in bijection with certain
combinatorial objects called “arcs”. In this paper, we show how one can use arcs to compute …

Stratifying Systems through τ-Tilting Theory Page 1 Documenta Math. 701 Stratifying
Systems through τ-Tilting Theory Octavio Mendoza Hernández and Hipolito Treffinger …

In this thesis we study torsion theory, subobjects and filtration properties in quasi-abelian,
exact and right triangulated categories. All such categegories fit into the larger framework of …

We define permutation modules and Young modules for the Brauer algebra B k (r, δ), and
show that if the characteristic of the field k is neither 2 nor 3 then every permutation module …

Let R be a finite dimensional k-algebra over an algebraically closed field k and modR be the
category of all finitely generated left R-modules. For a given full subcategory X of modR, we …

In this paper we point out that the “Process of standardization”, given in Dlab and Ringel,
and also the “Comparison method” given in Platzeck and Reiten can be generalized. To do …

In the study of standardly stratified algebras and stratifying systems, we find an object which
is either a tilting module or one whose properties strongly remind us of a tilting module. This …

In this paper we study the Cartan matrix associated to the Ext-projective stratifying system
induced by a basic and τ-rigid object M in mod (A) by means of the g-vectors of the …

We introduce the notion of homological systems Θ for triangulated categories. Homological
systems generalize, on one hand, the notion of stratifying systems in module categories, and …

We introduce the so-called homological systems in a module category over a pre-ordered
set, which generalize the notion of a stratifying system over a linearly ordered set, and study …