SOME REMARKS ON ALMOST UNISERIAL RINGS AND MODULES

نویسندگان
Dorbidi, H. R. ID 1

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

doi
10.22044/jas.2017.998
چکیده

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.

کلیدواژه‌ها
Almost uniserial rings, Almost uniserial modules, Socle of a module