SOME REMARKS ON ALMOST UNISERIAL RINGS AND MODULES

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.

کلیدواژه ها:

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