Let (F, A) and (G, B) be vector spaces over division rings F and G, and E (F, A) and E (G, B)
the corresponding endomorphism rings. Baer in [2] showed that E (F, A) and E (G, B) are anti …

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 …

1. Introduction and preliminaries. A left R-module M is called locally projective [10] if given
an epimorphismf: A-~ B, some 9 6 Hom (M, B) and a finitely generated submodule F of M …

The problem considered here is a special case of the general problem of the ex-tent to
which a module (F, A) is determined by its endomorphism ring E (F, A). We consider the …

Let (R, M) denote the unitary left module M over the ring R, and let E (R, M) denote the ring
of all R endomorphisms of M. The purpose of this note is to show that the technique used by …

1. Introduction. Let R be a ring (associative and with identity). It is easy to see that every left
ideal of R is the (left) annihilator of a finite subset of R if and only if every cyclic left R-module …

One of the fundamental problems on endomorphism rings is to find necessary and sufficient
conditions that an abstract ring be isomorphic to the endomorphism ring of a given type of …

1. It has been shown by Feller and Swokowski [I] that if R is an integral domain which has a
right and left quotient ring, then the endomorphism ring E (M) of a finitely generated torsion …

Motivated by the work of Baer [1], Kaplansky gave a proof in 1954 that any isomorphism of
the endomorphism algebras of two torsion modules over a complete discrete valuation …

Introduction. In [7] and [8] we have determined the isomorphisms of the endomorphism rings
of two special classes of torsion-free modules. In [7] the modules were free, over principal …