… uniserial modules as a generalization of uniserial modules. Recently, the notion of virtually
semisimple modules … Now if R is a torch ring and P its unique minimal prime ideal, then we …

… uniserial modules as nontrivial generalizations of uniserial modules. We recall that an R-…
Assume that R i is a virtually homo-uniserial torch ring with a unique minimal prime ideal P i …

… module 0 = K ⊆ M, K/Rad(K) is virtually simple. In this paper, we generalize virtually uniserial
modules … , has a unique minimal prime ideal P and P is a non-zero uniserial R-module, R/P …

… of weakly uniserial modules and rings, we show that every right R-module is weakly uniserial
if and only if … (d) A right (left) weakly uniserial ring R is prime if and only if it is semiprime. …

… uniserial modules as a nontrivial generalization of uniserial modules. We say that an R-…
(b) First we show that for each ring R and prime ideal P of R, E(R/P) is a uniform R-module. …

… ring End (U) of a non-zero uniserial module U has at most two maximal right ideals: the
two-sided completely prime … In order to discuss direct-sum decompositions of uniserial modules, …

… only strongly prime rings and consider hereditary Noetherian prime rings to shed … -module
and for any non-injective simple right R-module W, the injective hull of W is a uniserial module …

For a right module M R over a ring R , we consider the set I of … We prove that when M R is a
uniserial module, then E / K is a … to arbitrary modules M R , not-necessarily uniserial. When …

… We study rings whose modules and module … A direct sum of uniserial modules is said to be
serial. We say that M … 2.1 and 2.3]: With N standing for the prime radical of R, R N has each of …

… module that is a direct sum of uniserial modules is called a serial module. A … Any semi-prime
right Goldie, right cai ring is a finite direct sum of simple artinian …