Results 61 to 70 of about 783 (126)

Structure of Some Noetherian Injective Modules

open access: yes, 1980
The main object of this paper is to study when infective noetherian modules are artinian. This question was first raised by J. Fisher and an example of an injective noetherian module which is not artinian is given in [9]. However, it is shown in [4] that
B. Sarath
core   +1 more source

On the arithmetic of stable domains. [PDF]

open access: yesCommun Algebra, 2021
Bashir A, Geroldinger A, Reinhart A.
europepmc   +1 more source

Structural theorem for gr-injective modules over gr-noetherian G-graded commutative rings and local cohomology functors

open access: yesIzvestiya Instituta Matematiki i Informatiki. Udmurt. Gos. Univ., 2019
The author studies graded modules over graded commutative rings in analogy to the classical theory. He introduces and studies gr-Bass numbers for gr-noetherian modules over gr-noetherian graded rngs, and expresses them in terms of the functor \(Ext\). Further topics include radical and preradical functors, etc. The author also defines and uses abstract
openaire   +3 more sources

Pseudo-Noetherian Rings

open access: yes, 1976
In the latter part of the 1950’s some interesting papers appeared (e.g. [2] and [10]) which examined the relationships occurring between the purely algebraic and homological aspects of the theory of finitely generated modules over Noetherian rings.
Kenneth P. McDowell
core   +1 more source

A commutative version of the group ring

open access: yes
We construct a commutative version of the group ring and show that it allows one to translate questions about the normal generation of groups into questions about the generation of ideals in commutative rings.
Mannan, W.H.
core   +1 more source

Logarithmically regular morphisms. [PDF]

open access: yesMath Ann, 2021
Molcho S, Temkin M.
europepmc   +1 more source

NOETHERIAN SPECTRUM ON RINGS AND MODULES

open access: yes, 2011
It is shown that the well-known characterizations of when a commutative ringRhas Noetherian spectrum carry over to characterizations of when the set Spec(M) of prime submodules of a finitely generated moduleMis Noetherian.
DAVID E. RUSH
core   +1 more source

Gorenstein Injective Covers and Envelopes over Noetherian Rings

open access: yes, 2014
We prove that if R is a commutative Noetherian ring such that the character modules of Gorenstein injective modules are Gorenstein flat, then the class of Gorenstein injective modules is closed under direct limits and it is covering.
Iacob, Alina, Enochs, Edgar E.
core   +1 more source

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