We study the $ t $-structure induced by an $ n $-tilting module $ T $ in the derived category
$\mathcal {D}(R) $ of a ring $ R $. Our main objective is to determine when the heart of the …

Homological tilting modules of finite projective dimension are investigated. They generalize
both classical and good tilting modules of projective dimension at most one, and produce …

n-Star modules and n-tilting modules Page 1 Journal of Algebra 283 (2005) 711–722 www.elsevier.com/locate/jalgebra
n-Star modules and n-tilting modules Wei Jiaqun Department of Mathematics, Nanjing …

Let R and S be arbitrary associative rings. A left R-module RW is said to be cotilting if the
class of modules cogenerated by RW coincides with the class of modules for which the …

We prove that all quasi-cotilting modules are pure-injective and cofinendo. It follows that the
class Cogen M is always a covering class whenever M is a quasi-cotilting module. Some …

It is well known that tilting modules are of particular importance in the general theory of
modules. One of the roles of a tilting module R ω is that it provides a connection between the …

Given a good $ n $-tilting module $ T $ over a ring $ A $, let $ B $ be the endomorphism ring
of $ T $, it is an open question whether the kernel of the left-derived functor $ T\otimes^ L_B …

Tilting theory over commutative rings was not developed for a long time because of the fact
that in this case, all finitely generated tilting modules are projective. Things have changed …

This paper aims at generalizing the notions of “Auslander dual”,“k-torsionless” and “k-th
syzygy” modules to the relative setting with respect to a semidualizing module. It is shown …

In order to better unify the tilting theory and the Auslander–Reiten theory, Xi introduced a
general transpose called the relative transpose. Originating from this, we introduce and …