ON n-VNL-modules and SVNL-modules

Le Cheng
2020 Region - Educational Research and Reviews  
A ring R is called right n-VNL-ring if whenever for some elements , there exists at least one element regular. The aim of this paper is to generalize this concept into module classes, we define n-VNL-modules, study their properties and give some characterizations. It is proved that for any finite generated R- module M, M is an SVNL-module if and only if M is an n-VNL-module for every positive integer n. The locally projective n-VNL-modules are also be characterized. We discuss the relationship
more » ... etween n-VNL-modules and other modules under different conditions.
doi:10.32629/rerr.v2i4.219 fatcat:stk63xo6mjgvdod3cm3zudgyai