论文标题
多样性序列和积分依赖性
Multiplicity sequence and integral dependence
论文作者
论文摘要
我们证明，在等式和普遍的catenary noetherian局部环中，当且仅当它们具有相同的多重性序列时，它们具有相同的积分闭合，$ i \ subset j $具有相同的积分闭合。我们还获得了积分依赖性专业化的原则，该原则从家族中多重性序列的恒定性方面给出了积分依赖性的条件。
We prove that two arbitrary ideals $I \subset J$ in an equidimensional and universally catenary Noetherian local ring have the same integral closure if and only if they have the same multiplicity sequence. We also obtain a Principle of Specialization of Integral Dependence, which gives a condition for integral dependence in terms of the constancy of the multiplicity sequence in families.
