The primary goal of this paper is to investigate the structure of irreducible monomorphisms to
and irreducible epimorphisms from finitely generated free modules over a noetherian local …

Suppose (R, m) and (S, n) are commutative Noetherian local rings and ϕ: R→ S is a flat
local homomorphism with the property that the induced homomorphism R/m→ S/mS is …

Self-injective rings and endomorphisms of free modules Page 1 SELF-INJECTIVE RINGS OF
FREE MODULES VI Gemintern AND ENDOMORPHISMS UDC 512.4 It is shown that the ring of …

A ring extension is a ring homomorphism preserving identities. In this paper, we give the
definition of relatively free modules on ring extensions and develop some basic properties of …

We identify a large class of rings over which locally free modules are determined by their
endomorphism rings. We characterize these endomorphism rings and consider under what …

Torsion-free modules over Dedekind rings Page 1 TORSION-FREE MODULES OVER
DEDEKIND RINGS SK Rososhek UDC 512 We obtain necessary and sufficient conditions in …

Assume that ϕ (R, m, k)→(S, n, l) is a local homomorphism between commutative noetherian
local rings R and S. We say that an S-module M is almost finite over R if it is finitely …

We derive a necessary and sufficient condition that an isomorphism between the
endomorphism rings of modules be induced by a semi-linear isomorphism of the modules …

We study the category Morph (Mod-R) whose objects are all morphisms between two right R-
modules. The behavior of the objects of Mod-R whose endomorphism ring in Morph (Mod-R) …

This is the first of a series of four papers describing the finitely generated modules over all
commutative noetherian rings that do not have wild representation type (with a possible …