Results 1 to 10 of about 30,075 (226)

Multiplicities of Noetherian deformations [PDF]

open access: yesGeometric and Functional Analysis, 2015
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
core   +4 more sources

Residuated Lattices with Noetherian Spectrum

open access: yesMathematics, 2022
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
doaj   +1 more source

Integer-valued polynomials and binomially Noetherian rings

open access: yesZanco Journal of Pure and Applied Sciences, 2022
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
doaj   +1 more source

S-Noetherian rings, modules and their generalizations [PDF]

open access: yesSurveys in Mathematics and its Applications, 2023
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
doaj  

SIFAT-SIFAT MODUL NOETHERIAN

open access: yesJurnal Matematika UNAND, 2020
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
doaj   +1 more source

Ring Noetherian dan Ring Artinian

open access: yesSainsmat, 2014
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
doaj   +3 more sources

On the notion of Cohen-Macaulayness for non Noetherian rings [PDF]

open access: yes, 2008
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
core   +2 more sources

Choice principles and lift lemmas [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2017
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
doaj   +2 more sources

Noetherian algebras over algebraically closed fields [PDF]

open access: yes, 2006
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.
core   +3 more sources

Some aspects in Noetherian modules and rings

open access: yesAIMS Mathematics, 2022
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
doaj   +1 more source

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