English

SCMAlgebras: a Macaulay2 package to check sequential Cohen-Macaulayness

Commutative Algebra 2025-06-10 v4 Combinatorics

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. After the basic algebraic notions and results are recalled, the main features of the package are described through examples

Keywords

Cite

@article{arxiv.2409.15134,
  title  = {SCMAlgebras: a Macaulay2 package to check sequential Cohen-Macaulayness},
  author = {Ernesto Lax},
  journal= {arXiv preprint arXiv:2409.15134},
  year   = {2025}
}

Comments

11 pages, Updated paper to match new release of the package

R2 v1 2026-06-28T18:53:53.412Z