It is proved that any tilting adjunction is completely described by an exact category with a
coherence property and the closure condition that exact sequences are acyclic. 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 …

In this paper, we prove that if a triangulated category D admits a recollement relative to
triangulated categories D'and D'', then the abelian category D/T admits a recollement …

arXiv:1105.5186v1 [math.CT] 26 May 2011 Page 1 arXiv:1105.5186v1 [math.CT] 26 May 2011
On monoidal functors between (braided) Gr-categories 1 On monoidal functors between …

We prove that certain subquotient categories of extriangulated categories are abelian. As a
particular case, if an extriangulated category CC has a cluster-tilting subcategory XX, then …

Let $ k $ be a field, and let ${\mathcal {C}} $ be a $ k $-linear, Hom-finite triangulated
category with split idempotents. In this paper, we show that under suitable circumstances …

In the paper of Keller and Reiten, it was shown that the quotient of a triangulated category
(with some conditions) by a cluster tilting subcategory becomes an abelian category. After …

In this paper, we study (complete) cotorsion pairs in extriangulated categories. First, we
study a relationship between an interval of the poset of cotorsion pairs and the poset of …

It is well known that the concept of cotilting modules generalizes injective cogenerators and
in turn, the concept of cosilting modules generalizes cotilting modules. In this paper, we …

Extriangulated categories were introduced by Nakaoka and Palu as a simultaneous
generalization of exact categories and triangulated categories. A notion of proper class in an …