An algorithm for computing the Hilbert-Samuel multiplicities and reductions of zero-dimensional ideals of Cohen-Macaulay local rings

摘要

In this paper, we present an algorithm for computing the minimal reductions of m-primary ideals of Cohen-Macaulay local rings. Using this algorithm, we are able to compute the Hilbert-Samuel multiplicities and solve the membership problem for the integral closure of m-primary ideals. (C) 2019 Elsevier Ltd. All rights reserved.