Results 61 to 70 of about 783 (126)
Structure of Some Noetherian Injective Modules
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
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Unlikely intersections on the p-adic formal ball. [PDF]
Serban V.
europepmc +1 more source
On the arithmetic of stable domains. [PDF]
Bashir A, Geroldinger A, Reinhart A.
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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
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
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A commutative version of the group ring
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.
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Ordinary varieties with trivial canonical bundle are not uniruled. [PDF]
Patakfalvi Z, Zdanowicz M.
europepmc +1 more source
NOETHERIAN SPECTRUM ON RINGS AND MODULES
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
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Gorenstein Injective Covers and Envelopes over Noetherian Rings
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.
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