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Matroids: A Macaulay2 package

We give an overview of the Macaulay2 package Matroids, which contains functionality to create and compute with matroids. Examples highlighting the use of all major functions in the package are provided, along with explanations of some of the algorithms. Interesting connections of matroids to various branches and areas are also given.
arxiv.org

SCMAlgebras: a Macaulay2 package to check sequential Cohen-Macaulayness

We introduce the Macaulay2 package SCMAlgebras. It provides functions for computing the modules of deficiency and the filter ideals, in order to check whether a module or an ideal is sequentially Cohen-Macaulay. After the basic algebraic notions and results are recalled, the main features of the package are described through examples
arxiv.org