A ring for which every finitely generated right ideal is finitely presented is called a right
coherent ring. Such rings were first studied by Chase i4] as a generalization of right …

Let R be a valuation ring and let Q be its total quotient ring. It is proved that any singly
projective (respectively flat) module is finitely projective if and only if Q is maximal …

If R is a right non-singular ring (with 1) and Q is its (RE Johnson) maximal right quotient ring,
then the R-epimorphism∑ ipi⊗ qi→∑ piqi from (Q⊗ RQ) R to QR is not in general a …

A module UR is couniform if it has dual Goldie dimension 1, that is, it is non-zero and the
sum of any two proper submodules of UR is a proper submodule of UR. A module MR is …

Given modules M and N, M is said to be N-subprojective if for every epimorphism g: B→ N
and homomorphism f: M→ N, there exists a homomorphism h: M→ B such that gh= f. For a …

Let cp be a ring homomorphism from a ring R to a ring Q. If Q is flat as a right R-module and
q is a ring epimorphism, we say that QR is a flat epimorphism. If Q is projective with respect …

An R-module M is called weakly co-Hopfian if any injective endomorphism of M is essential.
The class of weakly co-Hopfian modules lies properly between the class of co-Hopfian and …

Throughout this note, R stands for a ring with identity and all modules are unital modules. In
this note, for a given module M, we say that M has dominant dimension at least ny written …

R (finitely cogenerated) injective cogenerator in the category of right R-modules. The ring R
is a QF-ring if it is right PF and right (or left) artinian, and in this case R is two-sided PF and …