Results 1 to 10 of about 252 (184)

Integer-valued polynomials and binomially Noetherian rings

Zanco 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
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Noetherian fixed rings [PDF]

Pacific Journal of Mathematics, 1977
by a group of automorphisms of R. This paper explores what happens when the group is finite and the fixed ring S is assumed to be Noetherian Easy examples show that R may not be Noetherian; however, in this paper it is shown that R is Noetherian with some rather natural assuptions.
Farkas, Daniel R., Snider, Robert L.
openaire   +3 more sources

Ring Noetherian dan Ring Artinian

Sainsmat, 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
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When Are Graded Rings Graded S-Noetherian Rings

Mathematics, 2020
Let Γ be a commutative monoid, R=⨁α∈ΓRα a Γ-graded ring and S a multiplicative subset of R0. We define R to be a graded S-Noetherian ring if every homogeneous ideal of R is S-finite. In this paper, we characterize when the ring R is a graded S-Noetherian
Dong Kyu Kim, Jung Wook Lim
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S-Noetherian rings, modules and their generalizations [PDF]

Surveys 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, Ajim Uddin Ansari, Shiv Datt Kumar   +2 more
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Some results on top local cohomology modules with respect to a pair of ideals [PDF]

Mathematica Bohemica, 2020
Let $I$ and $J$ be ideals of a Noetherian local ring $(R,\mathfrak m)$ and let $M$ be a nonzero finitely generated $R$-module. We study the relation between the vanishing of $H_{I,J}^{\dim M}(M)$ and the comparison of certain ideal topologies.
Saeed Jahandoust, Reza Naghipour
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Some Characterizations of w-Noetherian Rings and SM Rings

Journal of Mathematics, 2022
In this paper, we characterize w-Noetherian rings and SM rings. More precisely, in terms of the u-operation on a commutative ring R, we prove that R is w-Noetherian if and only if the direct limit of rGV-torsion-free injective R-modules is injective and ...
De Chuan Zhou, Hwankoo Kim, Xiaolei Zhang, Jin Xie   +3 more
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SIFAT-SIFAT MODUL NOETHERIAN

Jurnal 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, I MADE ARNAWA, NOVA NOLIZA BAKAR   +2 more
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On nonnil-coherent modules and nonnil-Noetherian modules

Open Mathematics, 2022
In this article, we introduce two new classes of modules over a ϕ\phi -ring that generalize the classes of coherent modules and Noetherian modules. We next study the possible transfer of the properties of being nonnil-Noetherian rings, ϕ\phi -coherent ...
Haddaoui Younes El, Kim Hwankoo, Mahdou Najib   +2 more
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On Nonnil-S-Noetherian Rings

Mathematics, 2020
Let R be a commutative ring with identity, and let S be a (not necessarily saturated) multiplicative subset of R. We define R to be a nonnil-S-Noetherian ring if each nonnil ideal of R is S-finite.
Min Jae Kwon, Jung Wook Lim
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