An example is given of a finitely generated module over a commutative ring whose
endomorphism ring does not have a classical ring of quotients. Vasconcelos [3] has shown …

Let $ R $ be a left pure semisimple ring such that there are no non-zero homomorphisms
from preinjective modules to non-preinjective indecomposable modules in $ R $-mod, and …

In this paper we prove that a module M is invariant under automorphisms of its X-envelope if
and only if M is invariant under monomorphisms of its X-envelope where X is an enveloping …

In a recent paper, Aydoǧdu and López-Permouth have defined a module M to be N-
subinjective if every homomorphism N→ M extends to some E (N)→ M, where E (N) is the …

Let R and S be arbitrary rings, RM and SN countably generated free modules, and let φ: End
(RM)→ End (sN) be an isomorphism between the endomorphism rings of M and N. Camillo …

A CHARACTERIZATION OF MODULES LOCALLY OF FINITE INJECTIVE DIMENSION 1.
Introduction Let R be a commutative Noetherian ring. Goto Page 1 PROCEEDINGS OF THE …

In this paper we shall present a property (cohopfian) which is equivalent to the cancellation
property for quasi-injective modules. Several conditions are given which imply that a quasi …

1. Introduction. We shall say that a left R-module M is exact if for all f~ M d= Horn (RM, e R)
there are finite sets {J}} M e,{mi}~= M such thatf=~ fi mif where the maps act on the fight …

We show that the endomorphism rings of kernels ker ϕ of non-injective morphisms ϕ
between indecomposable injective modules are either local or have two maximal ideals, the …

Let ${P_R} $ be a projective module with trace ideal $ T $. An $ R $-module ${X_R} $ is $ T
$-accessible if $ XT= X.{\text {If}}{P_R} $ is finitely generated projective and $ C $ is the $ R …