零维理想的一般准素分解

On General Primary Decomposition for Zero-dimensional Ideals

本文对零维理想关于某个变元是否为正常位置进行讨论,给出零维理想关于某个变元是否为正常位置的等价条件,得到一种较容易的求零维理想准素分解的方法,对某些理想能较快地得到部分准素分支,更有利于对理想进行准素分解.

In this paper, we study whether a given zero-dimensional ideal is in normal position with respect to a variable or not, give an equivalence condition of the ideal is in normal position with respect to a variable or not, and obtain a reduced method for primary decomposition of the ideal： Parts of primary components of some ideals can be obtained quickly, which is beneficial to primary decomposition of ideals.