In this paper, we extend some results of V rings to GP-V rings and GP-V'rings. Some
characterizations of strongly regular rings are obtained. We show that (1) R is strongly …

In this paper, we introduce a new notion which we call a generalized weakly ideal. We also
investigate characterizations of strongly regular rings with the condition that every maximal …

In this paper, we have studied weakly regular rings and some generalizations of V-rings via
GW-ideals. We have shown that:(1) If R is a left weakly regular ring whose maximal left …

In this paper, some new relations between GP-V′-rings and regular rings under certain
special conditions have been found. It is proved that R is left self-injective regular with Soc …

In recent years, von Neumann regular rings and V-rings have been extensively studied
(cf.[3J,[4J,[9J,[10],[11]). P-injectivity and pV-rings (which generalize regular rings and V …

It is well-known that a right self-injective, left go-injective regular ring is directly finite, and
then unit-regular (cf.[2, Theorem 9.29].) Also, it is proved in [3, Theorem 1.8] that a right go …

We introduce the class of “right almost V-rings” which is properly between the classes of
right V-rings and right good rings. A ring R is called a right almost V-ring if every simple R …

We investigate characterizations of rings whose simple singular right R-modules are GP-
injective. It is proved that if R is a semiprime ring whose simple singular right R-modules are …

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A ring R is called a left (right) SF-ring if all simple left (right) R-modules are flat. It is known
that von Neumann regular rings are left and right SF-rings. In this article, we study the …