On Hilbert Coefficients of Filtrations 被引量：1

On Hilbert Coefficients of Filtrations

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摘要 Let F be a Hilbert filtration with respect to a Cohen-Macaulay module M. When G（F, M） and FK（F,M） have almost maximal depths, the Hilbert coefficients gi（F, M） is calculated. In the general case, an upper bound for g2（F, M） is also given.

作者 Yan GU Guangjun ZHU Zhongming TANG

机构地区 Department of Mathematics

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2007年第5期543-554,共12页 数学年刊（B辑英文版）

基金 the National Natural-Science Foundation of China(No.10371085).

关键词 Hilbert coefficients Fiber cones Depth 系数过滤纤维数学

分类号 O1 [理学—基础数学]

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参考文献13

1Bruns, W. and Herzog, J., Cohen-Macaulay Rings, Cambridge Univ. Press, Cambridge, 1993, 150.
2Cortadellas, T., Fiber cones with almost maximal depth, Comm. Algebra, 33, 2005, 953-963.
3Corso, A., Polini, C. and Rossi, M. E., Depth of associated graded rings via Hilbert coefficients of ideals, J. Pure Appl. Algebra, 201, 2005, 126-141.
4Elias, J., Rossi, M. E. and Valla, G., On the coefficients of the Hilbert polynomial, J. Pure Appl. Algebra, 108, 1996, 35-60.
5Guerrieri, A. and Rossi, M. E., Hilbert coefficients of Hilbert filtration, J. Algebra, 199, 1998, 40-61.
6Huckaba, S., A d-dimensional extension of a lemma of Huneke's and formulas for the Hilbert coefficients, Proc. Amer. Math. Soc., 124, 1996, 1393-1401.
7Huckaba, S. and Marley, T., Hilbert coefficients and the depths of associated graded ring, J. London Math. Soc., 56(2), 1997, 64-76.
8Huneke, C., Hilbert functions and symbolic powers, Michigan Math. J., 34, 1987, 293-318.
9Jayanthan, A. V. and Verma, J. K., Hilbert coefficients and depths of fiber cones, J. Pure Appl. Algebra, 201, 2005, 97-115.
10Jayanthan, A. V. and Verma, J. K., Fiber cones of ideals with almost minimal multiplicity, Nagoya Math. J., 177, 2005, 155-179.

引证文献1

1Guang Jun ZHU.On the Depth and Hilbert Series of the Fiber Cone[J].Journal of Mathematical Research and Exposition,2010,30(2):365-373.

1Li Zhenkun and Hao Jifang.An Optimization of Matrix Correct Coefficient on XRFSQA[J].IMP & HIRFL Annual Report,1995(0):159-160.
2金宁,沈光宇.Invariant filtrations of Lie algebras of Cartan type over commutative rings[J].Chinese Science Bulletin,1995,40(11):890-893.
3薛连永.ON THE INVARIANT OF THE FILTRATIONS OF CARTAN TYPE P-ALGEBRAS OF CHARACTERISTIC 2[J].Chinese Science Bulletin,1986,31(13):933-934.
4ZHANG Yongzheng LIU Wende.The general and special superalgebras of formal vectorfields[J].Science China Mathematics,2004,47(2):272-283. 被引量：1
5Duong Quoc Viet Le Van Dinh.On Mixed Multiplicities of Good Filtrations[J].Algebra Colloquium,2015,22(3):421-436.
6张永正,林磊.LIE ALGEBRA K(n,μj,m)OF CARTAN TYPE OF CHARACTERISTIC p=2.[J].Chinese Annals of Mathematics,Series B,1992,13(3):315-326.
7CAO Li-hua ZHAO Yi.Generalized Gaussian Quadrature Formulas Based on Chebyshev Nodes with Explicit Coefficients[J].Chinese Quarterly Journal of Mathematics,2011,26(2):300-305.
8M. Francisca Yanez.Harmonic Analysis of Radon Filtrations for Sn and Its q-Analogue GLn（q）[J].Algebra Colloquium,2015,22(2):189-210.
9顾燕.On The Hilbert Coefficients of Fiber Cones[J].Northeastern Mathematical Journal,2007,23(5):425-432.
10陈宗煊,高仕安.SOME　OSCILLATION　THEOREMS　OF　HIGHER　ORDER　NON－HOMOGENEOUS　LINEAR　DIFFERENTIAL　EQUATIONS　WITH　TRANSCENDENTAL　MEROMORPIC　COEFFICIENTS[J].Annals of Differential Equations,1996,12(1):28-39. 被引量：2

Chinese Annals of Mathematics,Series B

2007年第5期

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On Hilbert Coefficients of Filtrations 被引量：1

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