English

The OIGroebnerBases Package for Macaulay2

Commutative Algebra 2023-10-10 v1

Abstract

We introduce the Macaulay2\textit{Macaulay2} package OIGroebnerBases\texttt{OIGroebnerBases} for working with OI-modules over Noetherian polynomial OI-algebras. The main methods implement OI-analogues of Buchberger's algorithm and Schreyer's theorem to compute Gr\"obner bases, syzygies and free resolutions of submodules of free OI-modules.

Keywords

Cite

@article{arxiv.2310.04891,
  title  = {The OIGroebnerBases Package for Macaulay2},
  author = {Michael Morrow},
  journal= {arXiv preprint arXiv:2310.04891},
  year   = {2023}
}

Comments

7 pages

R2 v1 2026-06-28T12:43:31.092Z