A right R-module M with endomorphism ring S is called a costar module if it induces the
duality between the class of MR-torsionless right R-modules X with Hom R (X, MR) finitely …

Over any left and right self-injective ring R the R-dual functors ()* between R-Mod and Mod-
R are exact, and hence so are the double R-dual functors ()** on each of these categories. In …

For any left R-module P with endomorphism ring S, the adjoint pair of functors P⊗ S− and
HomR (P,−) induce an equivalence between the categories of P-static R-modules and P …

Suppose that R is a ring and that A is a chain complex over R. Inside the derived category of
differential graded R-modules there are naturally defined subcategories of A-torsion objects …

We revisit a construction of wide subcategories going back to work of Ingalls and Thomas.
To a torsion pair in the category $ R\operatorname {-}\operatorname {mod} $ of finitely …

This paper studies dualities (or contravariant category equivalences) between two
categories of R-right and S-left modules which are finitely closed) that is, closed under …

An additive functor from the category of flat right R‐modules to the category of abelian
groups is continuous if it is isomorphic to a functor of the form−⊗ RM, where M is a left R …

In an arbitrary Grothendieck category, we find necessary and sufficient conditions for the
class of FP n-injective objects to be a torsion class. By doing so, we propose a notion of n …

It is known that if R is a ring with identity, and S and A op are the functor rings associated to
the categories Mod (R) and Mod (R op), respectively, then there is a duality between the …

We show that various derived categories of torsion modules and contramodules over the
adic completion of a commutative ring by a weakly proregular ideal are full subcategories of …