Contramodules are module-like algebraic structures endowed with infinite summation (or,
occasionally, integration) operations satisfying natural axioms. Introduced originally by …

Given a multiplicative subset S in a commutative ring R, we consider S-weakly cotorsion and
S-strongly flat R-modules, and show that all R-modules have S-strongly flat covers if and …

Let R be a commutative ring with identity and S a multiplicative subset of R. The aim of this
paper is to study the class of commutative rings in which every S-flat module is flat (resp …

FLAT RING EPIMORPHISMS OF COUNTABLE TYPE Page 1 Glasgow Math. J. 62 (2020)
383–439. C Glasgow Mathematical Journal Trust 2019. doi:10.1017/S001708951900017X. FLAT …

Contraherent cosheaves are module objects over algebraic varieties defined by gluing
using the colocalization functors. Contraherent cosheaves are designed to be used for …

We show that an abelian category can be exactly, fully faithfully embedded into a module
category as the right perpendicular subcategory to a set of modules or module morphisms if …

Principal affine open subsets in affine schemes are an important tool in the foundations of
algebraic geometry. Given a commutative ring R, R-modules built from the rings of functions …

Let R! A be a homomorphism of associative rings, and let. F; C/be a hereditary complete
cotorsion pair in R-Mod. Let. FA; CA/be the cotorsion pair in A-Mod in which FA is the class …

Let $ R $ be a commutative ring with an identity, and $ S $ a multiplicative subset of $ R $. In
this paper, we introduce the notion of $ S $-injective modules as a weak version of injective …

The aim of this paper is to characterize multiplicative subsets S and commutative rings R for
which every R-module is strongly flat with respect to S. Commutative rings R for which all R …