Building on the embedding of an n-abelian category into an abelian category as an n-cluster-
tilting subcategory of, in this paper, we relate the n-torsion classes of with the torsion classes …

We introduce the concept of a pseudo-cluster-tilting subcategory from the viewpoint of the
fact that the quotient of an exact category by a cluster-tilting subcategory is an abelian …

We introduce and study the new concepts of cosilting complexes, cosilting modules and AIR-
cotilting modules. We prove that the three concepts AIR-cotilting modules, cosilting modules …

N-Quasi-Abelian Categories vs N-Tilting Torsion Pairs Page 1 Documenta Math. 149 N-Quasi-Abelian
Categories vs N-Tilting Torsion Pairs With an Application to Flops of Higher Relative Dimension …

In the present article, we study the relationship of cotorsion pairs among three triangulated
categories in a recollement. We show that if a triangulated category 𝒟 admits a recollement …

The notion of cosilting module was recently introduced as a generalization of the notion of
cotilting module. In this paper, we give a characterization of (partial) cosilting modules in …

An important result in tilting theory states that a class of modules over a ring is a tilting class
if and only if it is the Ext-orthogonal class to a set of compact modules of bounded projective …

Let T be a 2-Calabi–Yau triangulated category, T a cluster tilting object with endomorphism
algebra Γ. Consider the functor T (T,−): T→ mod Γ. It induces a bijection from the …

Extriangulated categories give a simultaneous generalization of triangulated categories and
exact categories. In this paper, we study silting subcategories of an extriangulated category …

Let TR be a right n-tilting module over an arbitrary associative ring R. In this paper we prove
that there exists a n-tilting module T′ R equivalent to TR which induces a derived …