University of Jiroft | hamidreza dorbidi

Research

Title	Some remarks on almost uniserial rings and modules
Type	Article
Keywords	Almost uniserial rings, Almost uniserial modules, Socle of a module.
Researchers	hamidreza dorbidi

Abstract

In this paper, we study almost uniserial rings and modules. An R-module M is called almost uniserial if any two non-isomorphic submodules of M are linearly ordered by inclusion. A ring R is an almost left uniserial ring if RR is almost uniserial. We give some necessary and sufficient condition for an Artinian ring to be almost left uniserial