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 …

Cotilting modules and bimodules over arbitrary associative rings are studied. On the one
hand we find a connection between reflexive modules with respect to a cotilting (bi) module …

We consider whether the tilting properties of a tilting A-module T and a tilting B-module T′
can convey to their tensor product T⊗ T′: The main result is that T⊗ T′ turns out to be an …

Let $ T_R $ be a right $ n $-tilting module over an arbitrary associative ring $ R $. In this
paper we prove that there exists an $ n $-tilting module $ T'_R $ equivalent to $ T_R $ which …

A characterization of n-cotilting and n-tilting modules Page 1 Journal of Algebra 273 (2004)
359–372 www.elsevier.com/locate/jalgebra A characterization of n-cotilting and n-tilting …

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 …

Let $ T $ be a $1 $-tilting module whose tilting torsion pair $({\mathcal T},{\mathcal F}) $ has
the property that the heart ${\mathcal H} _t $ of the induced $ t $-structure (in the derived …

We consider some generalizations of the notion of divisible module, and study when our
“divisible” modules coincide with injective modules. Here the base ring RR is usually a (not …

We extend Miyashita's notion of a tilting module of® nite projective dimension to in® nitely
generated modules over an arbitrary ring R and characterize the classes X r Mod R induced …

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 …