Let R be a ring. M is said to be a minannihilator left R-module if r M l R (I)= IM for any simple
right ideal I of R. A right R-module N is called simple-flat if Nl R (I)= l N (I) for any simple right …

Let R be a ring. A left R-module M is said to be min-injective if for any simple left ideal I. A
right R-module N is called min-flat if for any simple left ideal I. R is said to be a left min …

A left R-module M is said to be mininjective if Ext1 (R/I, M)= 0 for any simple left ideal I of R.
A ring R is called left min-coherent in case each simple left ideal of R is finitely presented. It …

Let R be a ring and Nil∗(R) be the prime radical of R. In this paper, we say that a ring R is
left Nil∗-coherent if Nil∗(R) is coherent as a left R-module. The concept is introduced as the …

R is called a left PS (resp. left min-coherent, left universally mininjective) ring if every simple
left ideal is projective (resp. finitely presented, a direct summand of R). We first investigate …

Let R be a ring. For two fixed positive integers m and n, a right R-module M is called (m, n)-
injective in case every right R-homomorphism from an n-generated submodule of Rm to M …

We study the class of almost uniserial rings as a straightforward common generalization of
left uniserial rings and left principal ideal domains. A ring R is called almost left uniserial if …

We call a ring R a right SA-ring if for any ideals I and J of R there is an ideal K of R such that
r (I)+ r (J)= r (K). This class of rings is exactly the class of rings for which the lattice of right …

Recall that a ring R is said to be left coherent [2] if every finitely generated left ideal of R is
finitely presented. Coherent rings and their generalizations have been studied extensively …

Let M be a right R-module with endomorphism ring S. We study the left (m, n)-coherence of
S. It is shown that S is a left (m, n)-coherent ring if and only if the left annihilator ann M n …