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Ring Noetherian dan Ring Artinian [PDF]
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 Nonnil-S-Noetherian Rings [PDF]
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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When Are Graded Rings Graded S-Noetherian Rings [PDF]
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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SIFAT-SIFAT MODUL NOETHERIAN [PDF]
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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Endo-Noetherian Skew Generalized Power Series Rings [PDF]
Endo-Noetherian modules were introduced by A. Kaidi and E. Sanchez] as a generalization of Noetherian modules. A left Ɍ-module M which satisfies the ascending chain condition for endomorphic kernels is said to be endo-Noetherian.
Ramy Abdel-Khaleq +2 more
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AN EXAMPLE IN NOETHERIAN RINGS. [PDF]
Small LW.
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A COUNTEREXAMPLE IN NOETHERIAN RINGS. [PDF]
Herstein IN.
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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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Abnormalities in Noetherian Rings [PDF]
If P ⊆ Q ...
Arnold, J. T., Boisen, M. B. jun.
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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.
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