Introduction Throughout this paper, every ring is assumed to have an identity. The main
theme of the paper is the investigation of rings in which finitely generated right ideals are …

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 …

1. Introduction. In [5] F. Szasz investigated a class of rings, called P1-rings, which coincides
with the class of strongly regular rings in the absence of nilpotent elements. He showed that …

Some of the basic definitions and references are given in Section 2. Sectiops 3 and 4
contain respectively the decomposition theorem and the characterisation theorem together …

If every primary ideal is a maximal ideal in a commutative ring Ρ with identity, then we say
that I? is a P-ring. Evidently in P-rings primary, prime and maximal ideals coincide …

All rings considered are associative and have identity elements. By" Artinian rings","
Noetherian rings"," Goldie rings" and" hereditary rings" we shall mean rings which have the …

The purpose of this paper is to study the structure of right ideals in right D-rings. In $1 we first
recall some results from 191. We introduce the relevant condition (MP). A right D-ring is said …

Rings whose simple right modules are injective, called right V-rings by C. Faith, are studied
in [11] and by many other authors (cf.[6]). A ring A is called unit-regular if, for each a EA …

Introduction. In [2] GM Bergman gave an example of a semlprime P. 1. ring not having a
classical ring of quotients. P'oreo~,~; r LW Small has proved that if a serniprjme TI ring …

A ring R is called, according to [2], a left pp ring if any principal left ideal of R is projective. A
ring which is left and right pp is called a pp ring. In this short note we shall give some …