For any ring A and left (resp. right)^.-module E we let E* denote the right (resp, left) A-
module HomA {E, A8)(resp. Hom^(E, Ad)) where A8 (resp. Ad) denotes A considered as a …

Let A be a right order in a semisimple ring $\Sigma,{M_A} $ be a finite-dimensional
torsionless right A-module and ${\hat M_A} $ be the injective hull of M. JM Zelmanowitz has …

Pseudo-injective modules and self-pseudo-injective rings Page 1 PSEUDO-INJECTIVE
MODULES I~SEU DO-INJECTIVE RINGS GM Tsukerman AND SELF- UDC 512.4 The concept …

It is shown that, given a module M over a ring with 1, every direct product of copies of M is a
direct sum of modules with local endomorphism rings if and only if every direct sum of copies …

We first prove that if a monomorphism is a phantom envelope of a left R-module, then its
cokernel is pure-projective; if R is a left coherent ring and an epimorphism is an Ext Ext …

It is shown that any left module $ A $ over a ring $ R $ can be written as the intersection of a
downward directed system of injective submodules of an injective module; equivalently, as …

S Q-reflexive modules of R-Mod and Mod-S. In that work the authors give necessary and
sufficient conditions on Q for S being right semihereditary or coherent. Nevertheless the …

Full article: Torsion-Free Modules with Nearly Unique Endomorphism Algebras Skip to Main
Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log in …

We study, over an arbitrary ring R, a class of right modules intermediate between the
projective and the flat content modules. Over the ring of rational integers these modules are …

Warfield proved that every injective module has the exchange property. This was
generalized by Fuchs who showed that quasi-injective modules satisfy the exchange …