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.

arXiv comment11 pages Updated paper to match release of version 1.2 of the package