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On Minimax Modules and Generalized Local Cohomology with Respect to a Pair of Ideals

Acta Mathematica Vietnamica, 2020
Let \(R\) be a commutative Noetherian ring with identity and \(I\) and \(J\) be two ideals of \(R\). There are many generalizations of the notion of local cohomology in the literature. One of these generalizations was introduced by \textit{J. Herzog} [Komplexe, Auflösungen und Dualität in der localen Algebra.
Nam, Nguyen Thanh   +2 more
openaire   +2 more sources

The decomposition of minimax modules over hyperfinite groups

Archiv der Mathematik, 1993
Let \(G\) be a locally soluble hyperfinite group. The \({\mathbf Z} G\)-module \(A\) is minimax if it has a finite series of \({\mathbf Z} G\)-submodules \(0 = A_ 0 \subseteq A_ 1 \subseteq \cdots \subseteq A_ n = A\) such that each factor \(F_ i = A_ i / A_{i - 1}\) is either an artinian or a noetherian \({\mathbf Z} G\)-module. It is shown that \(A\)
Duan, Z. Y., Tomkinson, M. J.
openaire   +1 more source

Minimaxness and Cofiniteness Properties of Local Cohomology Modules

Communications in Algebra, 2013
Let R be a commutative Noetherian ring, I an ideal of R, and M a non-zero R-module. The purpose of this article is to introduce the notation of the nth finiteness dimension for all n ∈ ℕ0, and to prove the following results: (i) ; (ii) The R-modules are I-cofinite for all and for all minimax submodules N of , the R-modules are finitely generated ...
Kamal Bahmanpour   +2 more
openaire   +1 more source

An efficient algorithm for the design of weighted minimax M-channel cosine-modulated filter banks

IEEE Transactions on Signal Processing, 1998
This correspondence presents an efficient algorithm for the design of M-channel cosine-modulated filter banks. Our algorithm needs only a few iterations to obtain a weighted minimax solution and provides flexible control of the ripples in the filter's stopband, the overall filter bank transfer function, and the aliasing components.
Goh, C.-K., Lim, Y.-C.
openaire   +2 more sources

A robust optimization model for intensity‐modulated radiotherapy: Cheap‐Minimax

Medical Physics
Abstract Background Over the past three decades, the intensity‐modulated radiotherapy (IMRT) has become a standard technique, enabling highly conformal dose distributions tailored to specific clinical objectives.
Andrés C, Sevilla   +4 more
openaire   +2 more sources

$${\varvec{\mathcal {S}}}$$ S -minimaxness and local cohomology modules

Archiv der Mathematik, 2018
Let R be a commutative Noetherian ring, $${\mathfrak {a}}$$ an ideal of R, M a finitely generated R-module, and $${\mathcal {S}}$$
openaire   +1 more source

Finding the best equalizer structure for carrierless amplitude-phase modulation using minimax criteria

SPIE Proceedings, 2015
In this paper several structures of equalizers for carrierless amplitude-phase (CAP) modulation applied in intensity-modulation direct-detection optical links are compared. Minimax optimization method is applied to seek for equalizer weights. Discussed are: modulation format independent equalizer, CAP specific feed forward equalizer and infinite ...
openaire   +1 more source

On Minimax Modules and Generalized Local Cohomology With Respect to a Pair of Ideals

Acta Mathematica Vietnamica, 2021
Nguyen Minh Tri, Tran Tuan Nam
exaly  

Finiteness Properties of Local Cohomology Modules For ?-Minimax Modules

Proceedings of the American Mathematical Society, 2009
Reza Naghipour
exaly  

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