A submodule N of a module M is called S-closed (in M) if M/N is nonsingular. It is well-known
that the class Closed of short exact sequences determined by closed submodules is a …

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 …

In the study of hereditary Noetherian rings, it is clear that hereditary Noetherian prime rings
will play a central role (see, for example,[12]). Here we study the (two-sided) ideals of an …

Abstract A module RM is semiprime if for each 0≠ m ϵ M there exists ƒ ϵ Hom R (M, R) with
(mƒ) m≠ 0. In Section 1 semiprime artinian modules are seen to be isomorphic to finite …

Let $ R $ be either an Artin ring or a commutative ring. We show that every $ R $-module is
projective over its endomorphism ring if and only if $ R $ is uniserial. We study rings, all of …

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 …

This paper is part II of 6. Let R be a fixed integral domain which has a fixed element O≠ P∈
R such that∩ n∈ ω pn R= 0.\mathop ∩ n ∈ ω p^ n R= 0. If pR is not a maximal ideal and J …

Etant donné un module, RM, à sous-module singulier nul, nous étudions i'anneau
d'endomorphismes, B= EndR (M), de M et les relations entre B et Panneau …

Let R be a hereditary noetherian prime ring ((hnp)-ring) with enough invertible ideals.
Torsion modules over bounded (hnp)-rings were studied by the author in [10; 11]. All the …