滤波的渐近萨缪尔函数

IF 0.3 Q4 MATHEMATICS Acta Mathematica Vietnamica Pub Date : 2024-02-26 DOI:10.1007/s40306-024-00523-x

Steven Dale Cutkosky, Smita Praharaj

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引用次数: 0

摘要

我们将理想的渐近萨缪尔函数扩展到滤波，并证明理想的萨缪尔函数的许多良好性质对于滤波也是正确的。然而，我们也探讨了其中有趣的差异。我们研究了滤波的射影等价性概念，以及渐近塞缪尔函数与滤波的多重性之间的关系。我们进一步考虑了离散值滤波的情况，并证明它们具有特别好的性质。

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The Asymptotic Samuel Function of a Filtration

We extend the asymptotic Samuel function of an ideal to a filtration and show that many of the good properties of this function for an ideal are true for filtrations. There are, however, interesting differences, which we explore. We study the notion of projective equivalence of filtrations and the relation between the asymptotic Samuel function and the multiplicity of a filtration. We further consider the case of discrete valued filtrations and show that they have particularly nice properties.

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来源期刊

Acta Mathematica Vietnamica MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.