[HTML][HTML] Modules with chain conditions up to isomorphism
A Facchini, Z Nazemian - Journal of Algebra, 2016 - Elsevier
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 …
that a right module M is isoartinian if, for every descending chain M≥ M 1≥ M 2≥… of …
Endomorphism rings of bimodules
U Albrecht, R Göbel - Periodica Mathematica Hungarica, 2014 - Springer
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 …
investigate how non-singularity conditions on M_R MR are related to such conditions on …
[引用][C] A semiprime PI-ring having an exact module with a Krull dimension is a Goldie ring
KI Beidar, VT Markov - Russian Mathematical Surveys, 1993 - iopscience.iop.org
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 …
left Λ-module, then Λ is a Noetherian left ring and Kdim (R)= Xdim (Ai). The assertion that R …
[PDF][PDF] On the radical of endomorphism rings of local modules
WV Vasconcelos - arXiv preprint arXiv:1109.0203, 2011 - arxiv.org
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 …
2013 ON THE RADICAL OF ENDOMORPHISM RINGS OF LOCAL MODULES WOLMER V …
Primal, completely irreducible, and primary meet decompositions in modules
T Albu, PF Smith - Bulletin mathématique de la Société des Sciences …, 2011 - JSTOR
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 …
and completely irreducible ideals. It is proved that if R is a commutative Noetherian ring then …
Lifting modules over right perfect rings
Y Kuratomi, C Chang - Communications in Algebra®, 2007 - Taylor & Francis
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 …
of M which contains X as an essential submodule, that is, for any submodule X of M, there …
[PDF][PDF] The polynomial ring over a Goldie ring need not be a Goldie ring
JW Kerr - Journal of Algebra, 1990 - core.ac.uk
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 …
Wedderburn Theorem states that semisimple Artinian rings must be finite direct sums of …
Modules with regular, perfect, noetherian or artinian endomorphism rings
SM Khuri - Non-Commutative Ring Theory: Proceedings of a …, 1990 - Springer
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 …
properties of the module is most naturally approached via a bijection between certain left or …
On generalizations of injective modules
BN Türkmen - Publications de l'Institut Mathematique, 2016 - doiserbia.nb.rs
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 …
module M has the property (SE)(respectively, the property (SSE)) if, whenever M (N, M has a …