In this paper, we mainly focus on extension-closed subcategories of extriangulated
categories. Let X be an extension-closed subcategory. We show that if C is X-projective and …

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 …

Given small dg categories A and B and a BA-bimodule T, we give necessary and sufficient
conditions for the associated derived functors of Hom and the tensor product to be fully …

Tilting modules appear in a variety of ways: their first definition was in the context of finite
dimensional algebras over a field. Later, they appeared naturally in applications of the …

Let $\Lambda $ be a finite-dimensional algebra. A wide subcategory of $\mathsf
{mod}\Lambda $ is called left finite if the smallest torsion class containing it is functorially …

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 …

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 …

We study IE-closed subcategories of a module category, subcategories which are closed
under taking Images and Extensions. We investigate the relation between IE-closed …

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 …

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 …