SCMAlgebras: a Macaulay2 package for sequentially Cohen-Macaulayness

Abstract

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. The package also implements routines for studying other Cohen-Macaulay type conditions and unmixedness. After recalling the basic algebraic notions and results, the main features of the package are described through examples.