On 1-w-cotorsion modules and Prüfer v-multiplication domains
Abstract
In this paper, 1-w-cotorsion modules are introduced and studied. It is shown that an integral domain R is a PVMD if and only if 1-w-cotorsion R-modules are injective if and only if all 1-w-cotorsion R-modules are w-FP-injective.
Communicated by Yiqiang Zhou