On flat factor rings and fully right idempotent rings Page 1 Ann. Univ. Ferrara - Sez. VII - Sc. Mat.
Vol. XXVI, 125-141 (1980) On Flat Factor Rings and Fully Right Idempotent Rings. (*) …

Given (T, S, R), a Torsion-Torsion Free (TTF) theory in an abeiian category A with sufficient
projective and injective objects. it is shown that the intersection of the full subcategories T …

Let R be an associative ring with unit element. Mod-R and R-Mod will denote the categories
of unitary right and left R-modules, respectively, and all modules are assumed to be in Mod …

Let (𝒯, ℱ) be a hereditary torsion theory for A ℳ, the category of left A-modules. In this paper
the property that the torsionfree class ℱ be closed under homomorphic images is …

Classes of modules with given properties (like being closed under direct sums and factor
modules) play an important part in various aspects of Module Theory. Most of these classes …

Given a preradical we obtain operators between classes modules with closure properties.
These operators turn out to be prenuclei and under suitable conditions nuclei. In particular …

Let A be a complete and cocomplete abelian category with the additional assumption that
any direct sum and product of short exact sequences are exact. We explore the relation …

A torsion theory for a module cate6: ory is called splitting provided the torsion submodule of
every module is a direct sw.-mand and centrally splitting provided there exists a central …

It has been shown by Nǎstǎsescu and Popescu that every nonzero (left, unital) module over
a ring R has a simple submodule if and only if the Jacobson radical J of R is right T-nilpotent …

The existence of projective or quasi-pro jective covers for a large number of modules over a
ring R appears very often to reflect interesting properties on the ring R. For example, H. Bass …