共查询到20条相似文献,搜索用时 0 毫秒
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Dao Thanh Ha 《代数通讯》2013,41(3):992-1004
We give bounds for the Castelnuovo–Mumford regularity of the so-called sequentially κ-Buchsbaum modules and of the canonical modules of certain rings. 相似文献
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Maryam Jahangiri 《代数通讯》2013,41(12):5454-5463
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In this article, we study the Castelnuovo–Mumford regularity and Gorenstein properties of the fiber cone. We obtain upper bounds for the Castelnuovo–Mumford regularity of the fiber cone and obtain sufficient conditions for the regularity of the fiber cone to be equal to that of the Rees algebra. We obtain a formula for the canonical module of the fiber cone and use it to study the Gorenstein property of the fiber cone. 相似文献
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Le Xuan Dung 《代数通讯》2013,41(2):404-422
We give bounds on the Castelnuovo–Mumford regularity of the associated graded module of an arbitrary good filtration and of its fiber cone. These bounds extend previous results of Rossi–Trung–Valla and Linh. 相似文献
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It is shown that the Castelnuovo–Mumford regularity of lex-segment ideals of ordinary powers as well as of Frobenius powers of a homogeneous polynomial ideal is a function of polynomial type of huge degree. 相似文献
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Atsushi Noma 《Journal of Algebra》2009,321(9):2445-2460
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Mathematical Programming - The paper provides a connection between Commutative Algebra and Integer Programming and contains two parts. The first one is devoted to the asymptotic behavior of integer... 相似文献
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A. Mimouni 《代数通讯》2013,41(9):3044-3053
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Let 𝕂 be a field, and let R = 𝕂[x 1,…, x n ] be the polynomial ring over 𝕂 in n indeterminates x 1,…, x n . Let G be a graph with vertex-set {x 1,…, x n }, and let J be the cover ideal of G in R. For a given positive integer k, we denote the kth symbolic power and the kth bracket power of J by J (k) and J [k], respectively. In this paper, we give necessary and sufficient conditions for R/J k , R/J (k), and R/J [k] to be Cohen–Macaulay. We also study the limit behavior of the depths of these rings. 相似文献
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By expressing the sums of products of the Apostol?CBernoulli polynomials in terms of the special values of multiple Hurwitz?CLerch zeta functions at non-positive integers, we obtain the sums of products identity for the Apostol?CBernoulli numbers which is an analogue of the classical sums of products identity for Bernoulli numbers dating back to Euler. 相似文献
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We will use a good idea on differences and polynomial patterns to develop a number of formulas involving sums of numbers that arise frequently in mathematics.Among these are the sum of the firstn integers 相似文献
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We give a bound on the Castelnuovo–Mumford regularity of a homogeneous ideal I, in a polynomial ring A, in terms of the number of variables and the degrees of generators, when the dimension of is at most two. This bound improves the one obtained by Caviglia and Sbarra in [G. Caviglia, E. Sbarra, Characteristic-free bounds for the Castelnuovo–Mumford regularity, Prépublication, math.AC/0310122]. In the continuation of the examples constructed in Chardin and D'Cruz [M. Chardin, C. D'Cruz, Castelnuovo–Mumford regularity: examples of curves and surface, J. Algebra 270 (2003) 347–360], we use families of monomial curves to construct homogeneous ideals showing that these bounds are quite sharp. To cite this article: M. Chardin, A.L. Fall, C. R. Acad. Sci. Paris, Ser. I 341 (2005). 相似文献
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Matthias Ruf 《Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire》2019,36(4):887-937
We propose a new Γ-convergent discrete approximation of the Mumford–Shah functional. The discrete functionals act on functions defined on stationary stochastic lattices and take into account general finite differences through a non-convex potential. In this setting the geometry of the lattice strongly influences the anisotropy of the limit functional. Thus we can use statistically isotropic lattices and stochastic homogenization techniques to approximate the vectorial Mumford–Shah functional in any dimension. 相似文献
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Mathematical Notes - 相似文献