拟正则差分代数系统的差分指标
Difference Index of Quasi-regular Difference Algebraic Systems
摘要：
本文主要研究拟正则差分代数系统的差分指标。通过一族伪雅可比矩阵给出了差指数的定义。证明了差分指标的一些性质。特别地，给出了阶与差指数之和的Jacobi型上界.作为应用，给出了Hilbert-Levin正则性的一个上界和差分理想隶属度问题的阶的一个上界.
英文摘要：
This paper is devoted to studying difference indices of quasi-regular difference algebraic systems. We give the definition of difference indices through a family of pseudo-Jacobian matrices. Some properties of difference indices are proved. In particular, a Jacobi-type upper bound for the sum of the order and the difference index is given. As applications, an upper bound of the Hilbert-Levin regularity and an upper bound of the order for difference ideal membership problem are deduced.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
