The trivial extensions of a quasi-abelian category by means of a fully exact endofunctor are
again quasi-abelian. Using the one-to-one correspondence between quasi-abelian …

A note on abelian quotient categories - ScienceDirect Skip to main contentSkip to article
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In [R. Colpi, KR Fuller, Tilting objects in abelian categories and quasitilted rings, Trans.
Amer. Math. Soc., in press] tilting objects in an arbitrary abelian category H are introduced …

We study the properties of torsion pairs in triangulated category by introducing the notions of
d-Ext-projectivity and d-Ext-injectivity. In terms of-mutation of torsion pairs, we investigate the …

Let B be an extriangulated category with enough projectives and enough injectives. Let C be
a fully rigid subcategory of B which admits a twin cotorsion pair ((C, K),(K, D)). The quotient …

Assume that $\mathcal {D} $ is a Krull-Schmidt, Hom-finite triangulated category with a Serre
functor and a cluster-tilting object $ T $. We introduce the notion of relative cluster tilting …

Happel [6] and Cline, Parshall and Scott [4] showed that the tilting functors of Happel and
Ringel [8] can be interpreted in terms of an equivalence of derived categories of the module …

Abstract We consider a Krull–Schmidt, Hom-finite, 2-Calabi–Yau triangulated category with
a basic rigid object T, and show a bijection between the set of isomorphism classes of basic …

Let (C, E, s) be an extriangulated category. We show that certain quotient categories of
extriangulated categories are equivalent to module categories by some restriction of functor …

Tilting complexes, pe categories and reck derived module categories o rings Page 1
Journal of Pure and Applied ,?Igebra 73 ( 1991) l’ I I-232 North-Holland 211 Tilting …