1. Introduction In [5], Nicholson and Yousif called a ring R right principallv in iective (P-in.
jective) if every R-ho~ nomorphism from a principal right ideal to 11 is left multiplication by …

QUASI-INJECTIVE AND PSEUDO-INFECTIVE MODULES Page 1 Canad. Math. Bull. Vol. 18
(3), 1975 QUASI-INJECTIVE AND PSEUDO-INFECTIVE MODULES BY SK JAIN AND SURJEET …

Let RP be a projective R-module which is not finitely generated. Let E= End R (P). This
paper examines the structure of P as an E-module and relations between right ideals of R …

A generalization of injectivity, caIled E-injectivity, is studied in connection with von Neumann
regular rings and continuous regular ring (in the sense of Y. Ulumi). Various pr. 야 rties of E …

In this paper, certain results known for semiprime left Goldie rings are shown to have their
analogs for rings with von Neumann regular classical left quotient rings. Conditions for von …

Throughout this paper, R denotes an associative ring with identity and all modules are
unitary. A right R-module M is called principally injective briefly, p-injective) if for any …

A characterization is given of when all kernels (respectively images) of endomorphisms of a
module are direct summands, a necessary condition being that the endomorphism ring itself …

Introduction. A ring is called left (right) hereditary in case each left (right) ideal is projective.
Such rings have been studied extensively, and the property of being left hereditary is …

Introduction In this discussion every module over a ring R will be understood to be a left i2-
module. R will always have a unit, and every module will be unitary. The aim of this paper is …

Generalisations of von Neumann regular rings are considered through annihilators, purity
and certain special cyclic modules. Left self-injective regular, strongly regular and biregular …