Document Type : Original Manuscript

Author

• H. R. Dorbidi

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

Abstract

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.

Keywords

• Almost uniserial rings
• Almost uniserial modules
• Socle of a module