Results 11 to 20 of about 21,877 (248)
Some improvements for the algorithm of Gröbner bases over dual valuation domain
Electronic Research Archive, 2023 As a special ring with zero divisors, the dual noetherian valuation domain has attracted much attention from scholars. This article aims at to improve the Buchberger's algorithm over the dual noetherian valuation domain.
Licui Zheng, Dongmei Li , Jinwang Liu
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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 +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 +2 more
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AN EXAMPLE IN NOETHERIAN RINGS [PDF]
Proceedings of the National Academy of Sciences, 1965 Small LW.
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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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On Semiprime Noetherian PI-Rings [PDF]
, 2000 Let R be a semiprime Noetherian PI-ring and Q(R) the semisimple Artinian ring of fractions of R. We shall prove the following conditions are equivalent: (1) the Krull dimention of R is at most one, (2) Any ring between R and Q(R) is again right ...
Chiba, Katsuo
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Finite injective dimension over rings with Noetherian cohomology [PDF]
, 2011 We study rings which have Noetherian cohomology under the action of a ring of cohomology operators. The main result is a criterion for a complex of modules over such a ring to have finite injective dimension.
Burke, Jesse
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Quaestiones Mathematicae, 2023 Let $R$ be a ring and $S$ a multiplicative subset of $R$. Then $R$ is called a uniformly $S$-Noetherian ($u$-$S$-Noetherian for abbreviation) ring provided there exists an element $s\in S$ such that for any ideal $I$ of $R$, $sI \subseteq K$ for some finitely generated sub-ideal $K$ of $I$.
Chen, Mingzhao +4 more
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A COUNTEREXAMPLE IN NOETHERIAN RINGS [PDF]
Proceedings of the National Academy of Sciences, 1965 Herstein IN.
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Graded modules with Noetherian graded second spectrum
AIMS Mathematics, 2023 Let $ R $ be a $ G $ graded commutative ring and $ M $ be a $ G $-graded $ R $-module. The set of all graded second submodules of $ M $ is denoted by $ Spec_G^s(M), $ and it is called the graded second spectrum of $ M $.
Saif Salam , Khaldoun Al-Zoubi
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