Results 11 to 20 of about 7,498,776 (315)
Noetherian operators and primary decomposition [PDF]
Journal of Symbolic Computation, 2022 17 pages, codebase available at https://github.com/haerski ...
Justin Chen +3 more
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Primary decomposition in the smooth concordance group of topologically slice knots [PDF]
Forum of Mathematics, Sigma, 2021 We address primary decomposition conjectures for knot concordance groups, which predict direct sum decompositions into primary parts. We show that the smooth concordance group of topologically slice knots has a large subgroup for which the conjectures ...
Jae Choon Cha
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Primary Decomposition with Differential Operators [PDF]
International Mathematics Research Notices, 2022 Abstract We introduce differential primary decompositions for ideals in a commutative ring. Ideal membership is characterized by differential conditions. The minimal number of conditions needed is the arithmetic multiplicity. Minimal differential primary decompositions are unique up to change of bases.
Cid-Ruiz, Y., Sturmfels, B.
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Numerical primary decomposition [PDF]
Proceedings of the twenty-first international symposium on Symbolic and algebraic computation, 2008 Consider an ideal $I \subset R = \bC[x_1,...,x_n]$ defining a complex affine variety $X \subset \bC^n$. We describe the components associated to $I$ by means of {\em numerical primary decomposition} (NPD). The method is based on the construction of {\em deflation ideal} $I^{(d)}$ that defines the {\em deflated variety} $\dXd$ in a complex space of ...
A. Leykin
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Positive margins and primary decomposition [PDF]
Journal of Commutative Algebra, 2014 We study random walks on contingency tables with fixed marginals, corresponding to a (log-linear) hierarchical model. If the set of allowed moves is not a Markov basis, then there exist tables with the same marginals that are not connected. We study linear conditions on the values of the marginals that ensure that all tables in a given fiber are ...
Kahle, Thomas +2 more
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Primary Decomposition of Lattice Basis Ideals
Journal of Symbolic Computation, 2000 Here is the authors' abstract: ``We study the primary decomposition of lattice basis ideals. These ideals are binomial ideals with generators given by the elements of a basis of a saturated integer lattice. We show that the minimal primes of such an ideal are completely determined by the sign pattern of the basis elements, while the embedded primes are
Serkan Hosten, Jay Shapiro
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Localization and Primary Decomposition of Polynomial Ideals
Journal of Symbolic Computation, 1996 The authors give a new algorithm for primary decomposition of a polynomial ideal. Let \(I\) be an ideal of the polynomial ring \(R=\mathbb{Q}[x_1,\dots,x_n]\) over the rational numbers. An ideal is called pseudo-primary, if its radical is a prime ideal. The methods are described roughly as follows.
Takeshi Shimoyama, Kazuhiro Yokoyama
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Goldman's primary decomposition and the tertiary decomposition
Journal of Algebra, 1970 Emmy Noether’s theory of the primary decomposition of a submodule of a finitely generated module over a commutative noetherian ring was generalized for modules over a not necessarily commutative left noetherian ring R by Lesieur and Croisot [4], and recently by 0. Goldman [2].
G. Michler
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Polyocollection ideals and primary decomposition of polyomino ideals [PDF]
Journal of Algebra, 2023 In this article, we study the primary decomposition of some binomial ideals. In particular, we introduce the concept of polyocollection, a combinatorial object that generalizes the definitions of collection of cells and polyomino, that can be used to ...
Carmelo Cisto, F. Navarra, D. Veer
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Underwater acoustic signal denoising model based on secondary variational mode decomposition
Defence Technology, 2023 Due to the complexity of marine environment, underwater acoustic signal will be affected by complex background noise during transmission. Underwater acoustic signal denoising is always a difficult problem in underwater acoustic signal processing.
Hong Yang, Wen-shuai Shi, Guo-hui Li
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