We prove that some subquotient categories of exact categories are abelian. This
generalizes a result by Koenig–Zhu in the case of (algebraic) triangulated categories. As a …

Motivated by its links to τ-tilting theory, we introduce left weak cotorsion pairs, as a
generalization of cotorsion pairs in module categories. Such pairs are also linked to co-t …

Abstract If (A, B) and (A′, B′) are co-t-structures of a triangulated category, then (A′, B′)
is called intermediate if A⊆ A′⊆ Σ A. Our main results show that intermediate co-t …

In this paper, the authors introduce a new definition of∞-tilting (resp. cotilting) subcategories
with infinite projective dimensions (resp. injective dimensions) in an extriangulated category …

Let X be a semibrick in an extriangulated category C. Let T be the filtration subcategory
generated by X. We give a one-to-one correspondence between simple semibricks and …

Tilting Theory for Comodule Categories* Page 1 Southeast Asian Bulletin of Mathematics (2009)
33: 757-767 ö 7y^ . . Bulletin of Mathematics © SEAMS. 2009 Tilting Theory for Comodule …

In this paper we continue the project of generalizing tilting theory to the category of
contravariant functors Mod(C), from a skeletally small preadditive category C to the category …

In this paper we continue the project of generalizing tilting theory to the category of
contravariant functors $ Mod (C) $, from a skeletally small preadditive category $ C $ to the …

Extriangulated categories were introduced by Nakaoka and Palu to give a unification of
properties in exact categories and extension-closed subcategories of triangulated …

We show that a right triangulated category is best behaved when its shift satisfies conditions
making it what we call a right semi-equivalence. We consider right triangulated categories …