We shall call a ring R a left IF ring if every injective left R-module is flat. The purpose of this
paper is to characterize left and two-sided IF rings in several ways and to give some …

Recently, Costa [4] introduced the concept of n-coherent rings. In this note we shall give
some further properties of n-coherent rings. Let R be a ring and na nonnegative integer …

In this paper we are mainly concerned with rings satisfying the descending chain condition
(dcc) on left principal ideals. Such rings are called left coperfect rings in this paper. When left …

Abstract A right R-module M is said to be finendo provided that as a left module over its
endomorphism ring it is finitely generated. Let B= End MR. Then B n→ M→ 0 is exact for …

Let R be a ring with identity in which Z=* e (Z) for every right ideal Z and L= & (L) for every
left ideal L of R. Rings satisfying these conditions (or their variation) have been investigated …

Introduction. The aim of this paper is to study conditions which reflect the projectivity of a
given finitely generated flat module over a commutative ring. The use of the invariant factors …

0. Introduction. Let R be a ring. A proper left ideal L of R is prime if, for any elements a and b
in R such that aRb CL, either a€ L or b 6 L. For example, any prime two-sided ideal is a …

The flat dimensions of injective modules Page 1 manuscripta math. 78, 165- 177 (1993)
manuscripta mathematica Spfinger-Verlag 1~3 THE FLAT DIMENSIONS OF INJECTIVE …

A ring R is called a V-ring, respectively SSI-ring, respectively QII-ring if simple, respectively
semisimple, respectively quasi-injective, right R-modules are injective. We show that R is …

Let R be a ring with identity 1. We denote the category of unital right (respectively left) R-
modules by 'U&m). MR will signify ME YJl&M E $ tJl). We will be concerned with certain …