In this paper, we prove that any pure submodule of a strict Mittag-Leffler module is a locally
split submodule. As applications, we discuss some relations between locally split …

Аннотация Дается достаточно полный обзор логических (или теоретико-модельных)
кон струкций и методов, изучаемых и применяемых в теории колец и модулей. При …

We introduce the class of κ-locally projective modules and prove that they have the
compactness property for R when κ is a singular, a subtle (under V= L), or a weakly compact …

Strict Mittag-Leffler (sML) modules were introduced by M. Raynaud and L. Gruson [Invent.
Math. 13 (1971), 1–89; MR0308104 (46# 7219)]. Since, in the paper under review, sML …

“We characterize rings over which every cotorsion module is pure injective (Xu rings) in
terms of certain descending chain conditions and the Ziegler spectrum, which renders the …

We give the structure of a class of pseudoprojective modules over a semiperfect ring.
Moreover, we describe all self-pseudoprojective modules over an Artinian serial ring. As an …