Results 111 to 120 of about 887,096 (204)
Increasing subsequences, matrix loci and Viennot shadows
Forum of Mathematics, SigmaLet ${\mathbf {x}}_{n \times n}$ be an $n \times n$ matrix of variables, and let ${\mathbb {F}}[{\mathbf {x}}_{n \times n}]$ be the polynomial ring in these variables over a field ${\mathbb {F}}$ .
Brendon Rhoades
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[[alternative]]Parametric Decomposition of Monomial Ideals
, 2010 [[abstract]]我們知道Emmy Noether曾經證明過在Noetherian ring的情況之下,每一個ideal 可以寫成有限多個irreducible ideal的交集,因此,我們就想考慮對monomial ideal 來說,是不是也有相同的情況呢? 這篇論文的第一章,主要是想利用corner-elements把monomial ideal 分解成為有限多個parameter ideal 的交集,因為在Gorenstein local ring 的情況之下,parameter ideal
[[author]]黃曉郁, 黃曉郁
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On the Hilbert depth of the Hilbert function of a finitely generated graded module
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaLet K be a field, A a standard graded K-algebra and M a finitely generated graded A-module. Inspired by our previous works, see [2] and [3], we study the invariant called Hilbert depth of hM, that is hdepth(hM)=max{d:∑j≤k(-1)k-j(d-jk-j)hM(j)≥0 for all ...
Bălănescu Silviu, Cimpoeaş Mircea
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On the Hilbert depth of the quotient ring of the edge ideal of a star graph
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaLet Sn = K[x1, . . . , xn, y] and In = (x1y, x2y, . . . , xny) ⊂ Sn be the edge ideal of star graph. We prove that hdepth (Sn/In)≥⌈n2⌉+⌊n⌋-2\left( {S_n /I_n } \right) \ge \left\lceil {{n \over 2}} \right\rceil + \left\lfloor {\sqrt n } \right\rfloor -
Bălănescu Silviu +2 more
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Strong Persistence Index and Fluctuations in Colon Powers of Monomial Ideals
MathematicsLet I be an ideal in a commutative Noetherian ring R. We say that a positive integer ℓ0 is the strong persistence index of I if ℓ0 is the smallest integer such that (Iℓ+1:RI)=Iℓ for all ℓ≥ℓ0.
Mehrdad Nasernejad, Jonathan T. Toledo
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On Partial Regularities and Monomial Preorders [PDF]
, 2018 My PhD-project has two main research directions. The first direction is on partial regularities which we define as refinements of the Castelnuovo-Mumford regularity.
Nguyen, Thi Van Anh
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Illinois Journal of Mathematics, 2004 Generalizing a construction of \textit{A. V. Geramita}, \textit{T. Harima} and \textit{Y. S. Shin} [Ill. J. Math 45, 1--23 (2001; Zbl 1095.13500)], the author introduces so-called \(n\)-lists: A \(1\)-list is a natural number, and for \(n\geq 1\) an \(n\)-list is a decreasing infinite sequence of \((n- 1)\)-lists, where \(A\geq B\) for two \(n\)-lists \
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Free resolution of powers of monomial ideals and Golod rings
, 2017 Let $S = \mathbb{K}[x_1, \dots, x_n]$ be the polynomial ring over a field $\mathbb{K}$. In this paper we present a criterion for componentwise linearity of powers of monomial ideals.
N. Altafi +9 more
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Some results on simple complete ideals having one characteristic pair
Le Matematiche, 2003 Let α be a regular local two-dimensional ring, and let m = (x, y) be its maximal ideal. Let m > n > 1 be coprime integers, and let p be the integral closure of the ideal (x^m , y^n ).
Silvio Greco, Karlheinz Kiyek
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Higher Polynomial Identities for Mutations of Associative Algebras. [PDF]
Results Math, 2023 Bremner MR, Brox J, Sánchez-Ortega J.
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