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arXiv · 2011.08126

Threaded Gr\"{o}bner Bases: a Macaulay2 package

Sonja Petrović·Shahrzad Jamshidi Zelenberg
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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.

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Sonja Petrović, Shahrzad Jamshidi Zelenberg. 2020-11-16. Threaded Gr\"{o}bner Bases: a Macaulay2 package. https://doi.org/10.2140/jsag.2021.11.123

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