Document Type : Original Manuscript


Department of Mathematics, Faculty of Science, University of Jiroft, P.O. Box 78671-61167, Jiroft, Iran.


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