The aim of this paper is to describe the classes of strongly flat and weakly cotorsion modules
with respect to a multiplicative subset or a finite collection of multiplicative subsets in a …

We describe the structure of finitely generated cotorsion modules over commutative
noetherian rings. Also we characterize the so-called covering morphisms between finitely …

It is not known whether modules over an arbitrary ring have flat covers, however for certain
modules over commutative noetherian rings they can be shown to exist. These covers, in …

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 …

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 …

Let R be a ring, M a right R-module, and na fixed non-negative integer. M is called n-
cotorsion if for any flat right R-module N. M is said to be n-flat if for any n-cotorsion right R …

Let R be a commutative noetherian ring. We give criteria for a complex of cotorsion flat R-
modules to be minimal, in the sense that every self homotopy equivalence is an …

Let R be a ring (not necessarily commutative). A left R-module is said to be cotorsion if Ext 1
R (G, M)= 0 for any flat R-module G. It is well known that each pure-injective left R-module is …

Foxby duality has proven to be an important tool in studying the category of modules over a
local Cohen-Macaulay ring admitting a dualizing module. Recently the notion of a semi …

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 …