The 2-central reduced ring, a generalization of central reduced rings, has been introduced,
and checked about its relation and properties. Additionally, we have investigated von …

REDUCED MODULES AND STRONGLY REGULAR RINGS 1. Introduction Throughout all
rings are associative with identity and all modules ar Page 1 East Asian Math. J. Vol. 33 (2017) …

In this paper we investigate von Neumann regularity of rings whose simple singular right R-
modules are flat. It is proved that a ring R is strongly regular if and only if R is a semiprime …

We investigate the strongly regularity of rings whose simple singular right R-modules are YJ-
injective. It is proved that the following conditions are equivalent for a ring R:(1) R is a …

Let I be a right ideal of a ring R, then R/I is right N-flat module if and only if for each I a∈,
there exists I b∈ and a positive integer n such that 0≠ na and nn ba a=. In this paper, we …

We investigate von Neumann regularity of rings whose simple singular right R-modules are
GP-injective. It is proved that a ring; R is strongly regular iff R is a weakly right duo ring …

Let I be a right ideal of a ring R, then R/I is right N-flat module if and only if for each, there
exists and a positive integer n such that and. In this paper, we first introduce and …

In this paper we investigate von Neumann regularity of rings whose simple singular right R-
modules are flat. It is proved that a ring R is strongly regular if and only if R is a semiprime …

Introduction. A von Neumann regular ring A may be characterised by any one of the
following conditions:(a) every right (left) A-module is flat;(b) every right (left) A-module is p …

Recall that a ring R is said to be a quasi regular ring if its total quotient ring q (R) is von
Neumann regular. It is well known that a ring R is quasi regular iff it is a reduced ring …