… tests, for when a single uniform module over a serial ring is uniserial, appear not to be …
serial ring is a direct sum of prime rings, and we obtain facts about the spectrum of a serial ring. …

… suitable uniform modules are … a serial ring with J2 = 0, then certain uniform modules are
unieeriel. Using this, we prove in eection 2 that a serial ring R with J2 = 0 decomposes as a (ring-…

… of some R-module such that xR is a local module, ie, has a unique maximal submodule.
Over a semiperfect ring, and in particular over a serial ring, any element of any module is a sum …

… Indeed, over a (right) Noetherian serial ring, all uniform right modules are uniserial ([2],[4]). …
over a serial ,ring with Krull dimension one. In this paper, given that R is a serial ring with …

… For instance, the Goldie dimension of every uniform module is equal to 1. If there is no
such n we shall say that the Goldie dimension is undefined and write Gdim = ∞. A …

… the uniseriality of uniform injective modules over serial rings. Let R be an arbitrary ring and
fix a … For any uniform injective module VR , we prove that there exists e =ei such that, with A = …

… Moreover, it is worth noting that uniserial and serial modules and rings (eg, valuation rings),
… of uniform modules is called a semiuniform module. (1) Every simple module is uniform. (2) …

… Any uniform torsion Z-module is either isomorphic to a … uniform, finitely presented module
over a serial ring is uniserial. However, a finitely generated uniform module over a serial ring …

… Then A is an Artinian semidistributive left serial ring which is not right serial. (The right ideal
… fight module over a right serial ring A. (1) M is a finite direct sum of uniform modules, and M …

… Artinian) uniserial and serial modules over endomorphism rings are also investigated in the
… the endomorphism ring of a projective module over a serial ring is a local serial ring. Finally …