Stratifying systems, which have been defined for module, triangulated and exact categories
previously, were developed to produce examples of standardly stratified algebras. A …

arXiv:1904.11903v2 [math.RT] 27 May 2020 Page 1 arXiv:1904.11903v2 [math.RT] 27 May
2020 STRATIFYING SYSTEMS THROUGH τ-TILTING THEORY OCTAVIO MENDOZA AND …

In this work we introduce notions in Auslander-Buchweitz theory and cotorsion theory in
extriangulated categories which extend the given ones for abelian categories. Although …

Dlab–Ringel's standardization method gives a realization of a standardly stratified algebra.
In this paper, we construct mixed stratified algebras, which are a generalization of standardly …

Extriangulated categories were introduced by Nakaoka and Palu by extracting the
similarities between exact categories and triangulated categories. A notion of homotopy …

We define admissible and weakly admissible subcategories in exact categories and prove
that the former induce semi-orthogonal decompositions on the derived categories. We …

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 …

In this paper, we develop the theory of stratifying systems in the context of exact categories
as a generalisation of the notion of stratifying systems in module categories, which have …

We extend the classical notion of standardly stratified k-algebra (stated for finite dimensional
k-algebras) to the more general class of rings, possibly without 1, with enough idempotents …

Let R be an Artin ring and Θ={Θ (1), Θ (2),…, Θ (n)} be a family of objects in an Artin
extriangulated R-category (C, E, s) such that E (Θ (j), Θ (i))= 0 for all j≥ i. In this article, we …