We study modules with chain conditions up to isomorphism, in the following sense. We say
that a right module M is isoartinian if, for every descending chain M≥ M 1≥ M 2≥… of …

Let MM be an R RR R-bimodule over a semi-prime right and left Goldie ring R R. We
investigate how non-singularity conditions on M_R MR are related to such conditions on …

It is proved in [1](Proposition 3) that if R is a semiprime P/-ring and Μ is an exact Noetherian
left Λ-module, then Λ is a Noetherian left ring and Kdim (R)= Xdim (Ai). The assertion that R …

arXiv:1109.0203v3 [math.AC] 13 Dec 2013 Page 1 arXiv:1109.0203v3 [math.AC] 13 Dec
2013 ON THE RADICAL OF ENDOMORPHISM RINGS OF LOCAL MODULES WOLMER V …

This paper was inspired by the work of Fuchs, Heinzer, and Olberding concerning primal
and completely irreducible ideals. It is proved that if R is a commutative Noetherian ring then …

A module M is called extending if, for any submodule X of M, there exists a direct summand
of M which contains X as an essential submodule, that is, for any submodule X of M, there …

Rings satisfying chain conditions have been of interest for quite some time. The famous
Wedderburn Theorem states that semisimple Artinian rings must be finite direct sums of …

The problem of classifying properties of the endomorphism ring of a module in terms of
properties of the module is most naturally approached via a bijection between certain left or …

As a proper generalization of injective modules in term of supplements, we say that a
module M has the property (SE)(respectively, the property (SSE)) if, whenever M (N, M has a …