Generalized Grobner Bases and New Properties of Multivariate Difference Dimension Polynomials

被引：0

作者：

Levin, Alexander ^{[1
]}

机构：

[1] Catholic Univ Amer, Washington, DC 20064 USA

来源：

PROCEEDINGS OF THE 2021 INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION, ISSAC 2021 | 2021年

关键词：

Inversive difference field; Inversive difference module; Module of Kahler differentials; Grobner basis;

D O I：

10.1145/3452143.3465544

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a method of Grobner bases with respect to several term orderings and use it to obtain new results on multivariate dimension polynomials of inversive difference modules. Then we use the difference structure of the module of Kahler differentials associated with a finitely generated inversive difference field extension of a given difference transcendence degree to describe the form of a multivariate difference dimension polynomial of the extension.

引用

页码：273 / 280

页数：8

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