The notion of an extriangulated category gives a unification of existing theories in exact or
abelian categories and in triangulated categories. In this article, we develop Auslander …

The notion of an extriangulated category gives a unification of existing theories in exact or
abelian categories and in triangulated categories. In this article, we develop Auslander …

For a finite-dimensional algebra Λ and a nonnegative integer n, we characterize when the
set tilt n Λ of additive equivalence classes of tilting modules with projective dimension at …

Silting and Calabi-Yau reductions are important process in representation theory to
construct new triangulated categories from given one, which are similar to Verdier quotient …

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 …

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

TILTING BUNDLES ON ORDERS ON Pd Page 1 ISRAEL JOURNAL OF MATHEMATICS 2ii
(2016), 147–169 DOI: 10.1007/s11856-015-1263-8 TILTING BUNDLES ON ORDERS ON Pd …

It is a well-known result of Auslander and Reiten that contravariant finiteness of the class P∞
fin (of finitely generated modules of finite projective dimension) over an Artin algebra is a …

In a triangulated category equipped with a $ t $-structure, we investigate a relation between
ICE-closed (= Image-Cokernel-Extension-closed) subcategories of the heart of the $ t …

Abstract Silting and Calabi–Yau reductions are important processes in representation theory
to construct new triangulated categories from given ones, which are similar to Verdier …