SOME REMARKS ON ALMOST UNISERIAL RINGS AND MODULES

Abstract

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