Results 21 to 30 of about 28,060 (225)

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
doaj   +1 more source

Noetherianity and Ext

Journal of Pure and Applied Algebra, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Green, E. L., Snashall, N., Solberg, Ø., Zacharia, D.   +3 more
openaire   +3 more sources

Extensions of rational modules

International Journal of Mathematics and Mathematical Sciences, 2003
For a coalgebra C, the rational functor Rat (−):ℳC∗→ℳC∗ is a left exact preradical whose associated linear topology is the family ℱC, consisting of all closed and cofinite right ideals of C∗.
J. Cuadra
doaj   +1 more source

Noncommutative generalizations of theorems of Cohen and Kaplansky [PDF]

, 2011
This paper investigates situations where a property of a ring can be tested on a set of "prime right ideals." Generalizing theorems of Cohen and Kaplansky, we show that every right ideal of a ring is finitely generated (resp.
A Kertész, AV Jategaonkar, AV Jategaonkar, AW Goldie, AW Goldie, BL Osofsky, BV Zabavs’kiĭ, D Eisenbud, DV Huynh, EG Evans Jr, G Krause, I Kaplansky, IS Cohen, JA Beachy, JC McConnell, JC Robson, JC Robson, JJ Koker, K Koh, K Koh, KR Goodearl, KR Goodearl, Manuel L. Reyes, ML Reyes, PF Smith, PF Smith, PF Smith, PM Cohn, R Gordon, SA Amitsur, SM Bhatwadekar, TY Lam, TY Lam, TY Lam, TY Lam, TY Lam, TY Lam, VR Chandran, VR Chandran   +38 more
core   +2 more sources

Co-Cohen-Macaulay Modules and Local Cohomology

Journal of Mathematics, 2013
Let be a commutative Noetherian local ring and let be a finitely generated -module of dimension . Then the following statements hold: (a) if width for all with , then is co-Cohen-Macaulay of Noetherian dimension ; (b) if is an unmixed -module and ...
Hero Saremi, Amir Mafi
doaj   +1 more source

A generalized version of the rings $C_K(X)$ and $C_\infty(X)$ - an enquery about when they become Noetherian

Applied General Topology, 2015
Suppose $F$ is a totally ordered field equipped with its order topology and $X$ a completely $F$-regular topological space. Suppose $\mathcal{P}$ is an ideal of closed sets in $X$ and $X$ is locally-$\mathcal{P}$.
Sudip Kumar Acharyya, Kshitish Chandra Chattopadhyay, Pritam Rooj   +2 more
doaj   +1 more source

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
doaj   +1 more source

Examples of non-Noetherian domains inside power series rings [PDF]

, 2014
Let R* be an ideal-adic completion of a Noetherian integral domain R and let L be a subfield of the total quotient ring of R* such that L contains R. Let A denote the intersection of L with R*.
Heinzer, William, Rotthaus, Christel, Wiegand, Sylvia   +2 more
core   +3 more sources

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
doaj   +1 more source

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
doaj   +1 more source