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 …

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 [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 …

Goldie's torsion class 𝒢 is a class of left R-modules closed under taking submodules, factor
modules, extensions, arbitrary direct sums, and injective envelopes. The corresponding …

Let M be a left?-module and let S be the endomorph is^ ring of M. I n [2], under the
assumption that M is projective and contains a unimodular elenent, a proof is given that …

Endomorphism rings of projective modules Page 1 Math. Z. 111, 322-332 (1969)
Endomorphism Rings of Projective Modules* FRANK W. ANDERSON Introduction Let R and S …

The definition of the determinant of an endomorphism of a free module depends on the
following fact: If F is a free R-module of rank n, then the homogeneous component∧ nF, of …

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 …

Because F is a free module of infinite rank we see that F^ Fn all n^ l. It follows that H^ Hn as
right (or left) H-modul es. So H is isomorphic (as ring) to Hn, forali n> 1. Further every finitely …

It is well known that if R is a regular ring and F is a free/^-module with finite basis, then
HomR (F, F) is a regular ring ([1]). Skornyakov asks if the condition that F have a finite basis …