… We define prime uniserial modules as a generalization of uniserial modules. We say that
an R-module M is prime uniserial (℘-uniserial) if its prime submodules are linearly ordered by …

… module. We also show that if R is Goldie prime serial, then V is uniserial if and only if Ve is
uniserial … of a uniform injective module, over a ;oldie prime serial ring, is equivalent to the …

… generated (R/I)- modules are direct sums of uniserial modules. From this one could derive
a … knew that all simple R-modules were unfaithful (ie, for bounded HNP rings). However, we …

… module over a serial ring with Krull dimension is uniserial. … a single uniform module over a
serial ring is uniserial, appear … semiprime right serial ring is a direct sum of prime rings, and …

… of “prime uniserial modules” and “prime serial modules” have … in [Prime uniserial modules
and rings, submitted; Noetherian … R-module M is prime uniserial (℘-uniserial) if any two prime …

… A module is said to be uniserial if any two of its submodules are comparable with respect
to inclusion. A direct sum of uniserial modules is called a serial module. For a ring A its …

… rings have the property that every finitely generated module is ℘-serial?” Most recently, in our
paper, Prime uniserial modules and rings (… in the context of commutative rings. The goal of …

… Are Dedekind prime rings precisely the hereditary noetherian prime rings whose factor …
the structure of a uniserial module over a serial ring A more closely. Any uniserial A-module is a …

… rings. Some characterizations of Noetherian (resp. Artinian) uniserial and serial modules over
endomorphism rings … PJ ⊆ A ring R is a prime ring if RR is a prime module, ie, 0 is a prime …

… A with respect to its maximal ideals are uniserial rings [80] (in … uniserial and serial modules
and rings (eg, valuation rings), … P of a ring A is a prime ideal if the ring A/P is a prime ring (ie …