We introduce a general version of the singular compactness theorem which makes it
possible to show that being a Σ Σ-cotorsion module is a property of the complete theory of …

In this paper, we study certain properties of modules of finite Gorenstein projective, injective
and flat dimensions. We examine conditions which imply that all Gorenstein projective …

Recollements of derived module categories are investigated, using a new technique,
ladders of recollements, which are maximal mutation sequences. The position in the ladder …

Drinfeld recently suggested to replace projective modules by the flat Mittag-Leffler ones in
the definition of an infinite dimensional vector bundle on a scheme X (Drinfeld, 2006 [8]) …

Let T be an infinitely generated tilting module of projective dimension at most one over an
arbitrary associative ring A, and let B be the endomorphism ring of T. We prove that if T is …

Mittag-Leffler stability of nonlinear fractional nabla difference systems is defined and the
Lyapunov direct method is employed to provide sufficient conditions for Mittag-Leffler …

Mittag-Leffler modules occur naturally in algebra, algebraic geometry, and model
theory,[20],[14],[19]. If R is a non-right perfect ring, then it is known that in contrast with the …

In this paper, we use the notion of strict Mittag–Leffler modules, in order to study the flat
length of injective modules over a ring R. We show that the supremum of these flat lengths is …

We investigate parametrizations of compactly generated t-structures, or more generally, t-
structures with a definable coaisle, in the unbounded derived category $\mathrm …

We apply the theory of cotorsion pairs to study closure properties of classes of modules with
finite projective dimension with respect to direct limit operations and to filtrations. We also …