We compare and contrast various relative cohomology theories that arise from resolutions
involving semidualizing modules. We prove a general balance result for relative …

One of the main ingredients of a tilting theory, a generalization of Morita equivalence
betweenR-Mod andS-Mod that has evolved from the work of S. Brenner and MCR Butler …

It is proved that for a commutative noetherian ring with dualizing complex the homotopy
category of projective modules is equivalent, as a triangulated category, to the homotopy …

In this paper we study cotorsion and torsion pairs induced by cotilting modules. We prove
the existence of a strong relationship between the Σ-pure-injectivity of the cotilting module …

According to Chase [3, Theorem 2.1], the argument of Morita [8, Theorem 1] yields that, for a
left and right coherent ring, the injective envelope of the left regular module is flat if and only …

In previous papers (Mtiller [11, 12]) we have studied Morita dualities. These are
contravariant category equivalences between categories of right R-modules and left S …

Cotorsion Pairs of Complexes Page 1 Cotorsion Pairs of Complexes Xiaoyan Yang Dedicated
to the 70-year-old birthday of Professor KP Shum Abstract: Let C be a complex of right …

The concept of a torsion theory (𝒯, ℱ) for left R-modules has been defined by SE Dickson. A
torsion theory is called splitting if it has the property that the torsion submodule of every left R …

In this article we extend the results about Gorenstein modules and Foxby duality to a non-
commutative setting. This is done in § 3 of the paper, where we characterize the Auslander …

Harrison [17] proved that the category of torsion divisible groups is equivalent to the
category of torsion-free cotorsion groups. Matlis [24] extended this result to arbitrary domains …