We consider a complete hereditary cotorsion pair (A, B) in a Grothendieck category G such
that A contains a generator of finite projective dimension. The derived category D (B) of the …

In this paper, we first construct some complete cotorsion pairs on the category ℂ N (𝒢) of
unbounded N-complexes of Grothendieck category 𝒢, from two given cotorsion pairs in 𝒢 …

Given a cotorsion pair (,) in an abelian category, we define cotorsion pairs (, dg) and (dg,) in
the category< sub> N() of N-complexes on. We prove that if the cotorsion pair (,) is complete …

Recollements associated to cotorsion pairs Page 1 Journal of Algebra and Its Applications Vol. 17,
No. 5 (2018) 1850141 (15 pages) c© World Scientific Publishing Company DOI …

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 …

In [8] Sake introduced the notion of a cotorsion pair (A, B) in the category of abelian groups.
But his definitions and basic results carry over to more general abelian categories and have …

Full article: Equivalence of Hearts of Twin Cotorsion Pairs on Triangulated Categories Skip
to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …

In the papers of Nakaoka, he introduced the notion of hearts of (twin) cotorsion pairs on
triangulated categories and showed that they have structures of (semi-) abelian categories …

Let $(\mathcal A,\mathcal B,\mathcal C) $ be a recollement of extriangulated categories. In
this paper, we provide bounds on the coresolution dimensions of the subcategories involved …

In this article, we study the heart of a cotorsion pairs on an exact category and a triangulated
category in a unified method, by means of the notion of an extriangulated category. We …