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Multiplicities of Noetherian deformations [PDF]
The \emph{Noetherian class} is a wide class of functions defined in terms of polynomial partial differential equations. It includes functions appearing naturally in various branches of mathematics (exponential, elliptic, modular, etc.).
Binyamini, Gal, Novikov, Dmitry
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Residuated Lattices with Noetherian Spectrum
In this paper, we characterize residuated lattices for which the topological space of prime ideals is a Noetherian space. The notion of i-Noetherian residuated lattice is introduced and related properties are investigated.
Dana Piciu, Diana Savin
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Integer-valued polynomials and binomially Noetherian rings
for each and i ≥ 0. The polynomial ring of integer-valued in rational polynomial is defined by Int ( an important example for binomial ring and is non-Noetherian ring. In this paper the algebraic structure of binomial rings has been studied by their
Shadman Kareem
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S-Noetherian rings, modules and their generalizations [PDF]
Let R be a commutative ring with identity, M an R-module and S ⊆ R a multiplicative set. Then M is called S-finite if there exist an s ∈ S and a finitely generated submodule N of M such that sM ⊆ N.
Tushar Singh+2 more
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Diberikan R adalah suatu ring komutatif dengan unsur satuan dan M adalah suatu grup abelian (hampir selalu terhadap penjumlahan). Suatu modul atas ring R (Rmodul) adalah suatu grup abelian M yang dilengkapi dengan dua operasi dan memenuhi syarat-syarat ...
SILVIA MARTASARI+2 more
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Ring Noetherian dan Ring Artinian
DOWNLOAD PDF Dalam tulisan ini, diperkenalkan dua klas khusus dari ring yaitu Ring Noetherian dan Ring Artinian. Berawal dari adanya suatu ring komutatif yang mempunyai suatu ideal (ideal kiri dan ideal kanan). Apabila ideal tersebut
. Fitriani
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On the notion of Cohen-Macaulayness for non Noetherian rings [PDF]
There exist many characterizations of Noetherian Cohen-Macaulay rings in the literature. These characterizations do not remain equivalent if we drop the Noetherian assumption.
Asgharzadeh, Mohsen, Tousi, Massoud
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Choice principles and lift lemmas [PDF]
We show that in {bf ZF} set theory without choice, the Ultrafilter mbox{Principle} ({bf UP}) is equivalent to several compactness theorems for Alexandroff discrete spaces and to Rudin's Lemma, a basic tool in topology and the theory of quasi-continuous ...
Marcel Ern'e
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Noetherian algebras over algebraically closed fields [PDF]
Let $k$ be an uncountable algebraically closed field and let $A$ be a countably generated left Noetherian $k$-algebra. Then we show that $A \otimes_k K$ is left Noetherian for any field extension $K$ of $k$. We conclude that all subfields of the quotient
Bell, Jason P.
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Some aspects in Noetherian modules and rings
Many authors have focused on the concept of Noetherian rings. M. Kosan and T. Quynh recently published an article on the Noetherian ring's new properties and their relation to the direct sum of injective hulls of simple right modules and essential ...
Nasr Anwer Zeyada, Makkiah S. Makki
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