EPIMORPHISMS OF MODULES WHICH MUST BE ISOMORPHISMS Page 1 Canad. Math.
Bull. Vol. 16 (4), 1973 EPIMORPHISMS OF MODULES WHICH MUST BE ISOMORPHISMS 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 …

788 INJECTIVE MODULES UNDER CHANGE OF RINGS1 Page 1 788 ERNST SNAPPER [August
Bibliography 1. L. Auslander and M. Kuranishi, On the holonomy group of locally Euclidean …

Cukerman [2], Shanny [5], and Ware [7] have shown that a ring R is Artin semisimple if and
only if R has a nonfinitely generated free module with regular endomorphism ring. This …

It is proved that every surjective or injective endo-morphism of a finitely presented left
module over a right perfect ring is an isomorphism. We will adopt the following conventions …

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 …

But, for each S (1-e) iii A, E (A)'ci S (1-e) f E (A)'ci A and hence E (A)= S (1-e) f E (A) ci S (1-e)
by the injectivity of S (1-e) n E (A). Therefore A= E (A)= Sf for some f= f 2 E S. Lemma 3.(J …

Introduction. The problem considered is a special case of the general problem of the extent
to which a module (F, A) is determined by its endomorphism ring E (F, A). We restrict our …

Let R be a ring with an identity 1, and R′ a ring anti-isomorphic to R. Let V be an R-module
as well as an R′-module. We assume that 1 a= a for all elements a in V and that V satisfies …

Rosenberg and Zelinsky [6] first addressed the question of characterizing for a ring R those
simple modules RT having injective hulls of finite length. In that work they also announced a …