{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/threaded-gr-o-bner-bases-a-macaulay2-package","title":"Threaded Gröbner Bases: a Macaulay2 package","arxiv_id":"2011.08126","date":"2020-11-16","proceeding":null,"authors":["Sonja Petrović","Shahrzad Jamshidi Zelenberg"],"abstract":"The complexity of Gr\\\"{o}bner computations has inspired many improvements to Buchberger's algorithm over the years. Looking for further insights into the algorithm's performance, we offer a threaded implementation of classical Buchberger's algorithm in {\\it Macaulay2}. The output of the main function of the package includes information about {\\it lineages} of non-zero remainders that are added to the basis during the computation. This information can be used for further algorithm improvements and optimization.","url_abs":"https://arxiv.org/abs/2011.08126v2","url_pdf":"https://arxiv.org/pdf/2011.08126v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"threaded-gr-o-bner-bases-a-macaulay2-package","repo_url":"https://github.com/Macaulay2/M2/blob/development/M2/Macaulay2/packages/ThreadedGB.m2","is_official":1,"mentioned_in_paper":0,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}