论文标题

MACAULAY的快速套件

FastMinors package for Macaulay2

论文作者

Martinova, Boyana, Robinson, Marcus, Schwede, Karl, Yao, Yuhui

论文摘要

在本文中,我们介绍了fastminors.m2,这是Macaulay2中的一个软件包,旨在引入针对函数字段线性代数中计算的新方法。我们的软件包提供的一些关键功能包括:在提供的矩阵中找到给定等级的子序列(当存在时),验证戒指在编成n中是常规的,在矩阵中递归计算未成年人的理想,并找到模块的投射维度的上限。

In this article, we present FastMinors.m2, a package in Macaulay2 designed to introduce new methods focused on computations in function field linear algebra. Some key functionality that our package offers includes: finding a submatrix of a given rank in a provided matrix (when present), verifying that a ring is regular in codimension n, recursively computing the ideals of minors in a matrix, and finding an upper bound of the projective dimension of a module.

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