For a left noetherian ring, we establish a bijective correspondence between equivalence
classes of cotilting-modules which are not necessarily finitely generated, and torsion pairs …

We study the problem of when a direct limit of tilting modules is still a tilting module. Tilting
theory first appeared in the context of finitely generated modules over artin algebras [12 …

Suppose that $\mathcal {A} $ is an abelian category whose derived category $\mathcal
{D}(\mathcal {A}) $ has $ Hom $ sets and arbitrary (small) coproducts, let $ T $ be a (not …

Cotilting Modules Are Pure-Injective Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 131, Number 12, Pages 3665-3672 S 0002-9939(03)06938-7 …

In this paper, we consider the endomorphism algebras of infinitely generated tilting modules
of the form $ R_ {\mathcal U}\oplus R_ {\mathcal U}/R $ over tame hereditary $ k $-algebras …

Let A and B be two rings, M be a left B, right A bimodule and be the formal triangular matrix
ring. It is known that the category of right T-modules is equivalent to the category Ω of triples …

There are well-known constructions relating ring epimorphisms and tilting modules. The new
notion of silting module provides a wider framework for studying this interplay. To every …

Let R be a ring, Q a small k-preadditive category, and let Q, R Mod be the category of k-
linear functors from Q to the left R-module category R Mod. Given a cotorsion pair (𝒜, ℬ) in R …

If T is a tilting module and proj. dim (T,)= r, then note that s= T-codim (R,)= r (see [4, 61) and
we call Tan r-tilting module. Associated with certain simple modules over artin algebras …

The aim of this paper is to construct singular equivalences between functor categories. As a
special case, we show that there exists a singular equivalence arising from a cotilting …