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 …

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 …

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 …

For a ring D and a subring C, let ℛ [D, C]={(d 1,…, dn, c, c,…): di∈ D, c∈ C, n≥ 1}, a subring
of, and let, a subring of 𝕄2 (D). In this article, various conditions are obtained for ℛ [D, C] and …

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 …

This paper is concerned with the following open problem for directly finite, von Neuman
regular rings. The problem was given by Goodearl and Handelman [3]: what conditions on a …

It was proved independently by both Wolfson [An ideal theoretic characterization of the ring
of all linear transformations, Amer. J. Math. 75 (1953) 358–386] and Zelinsky [Every linear …

INTRODUCTION. Von Neumann regular and associated rings (for example, V-rings) are
extensively studied since several years (cf.[2J,[3J). It is well-known that A is von Neumann …

This paper is essentially concerned with-injectivity (a generalization of injectivity) and an
analog ous concept which generalizes projectivityИ called-projectivity. Introduction …

A module M over a ring is called simple-direct-injective if, whenever A and B are simple
submodules of M with A≅ B and B⊆⊕ M, we have A⊆⊕ M. Various basic properties of …