f4ncgb: High Performance Gröbner Basis Computations in Free Algebras
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914229074788352 |
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| author | Heisinger, Maximilian Hofstadler, Clemens |
| author_facet | Heisinger, Maximilian Hofstadler, Clemens |
| contents | We present f4ncgb, a new open-source C++ library for Gröbner basis computations in free algebras, which transfers recent advancements in commutative Gröbner basis software to the noncommutative setting. As our experiments show, f4ncgb establishes a new state-of-the-art for noncommutative Gröbner basis computations. We also discuss implementation details and design choices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_19304 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | f4ncgb: High Performance Gröbner Basis Computations in Free Algebras Heisinger, Maximilian Hofstadler, Clemens Mathematical Software Symbolic Computation We present f4ncgb, a new open-source C++ library for Gröbner basis computations in free algebras, which transfers recent advancements in commutative Gröbner basis software to the noncommutative setting. As our experiments show, f4ncgb establishes a new state-of-the-art for noncommutative Gröbner basis computations. We also discuss implementation details and design choices. |
| title | f4ncgb: High Performance Gröbner Basis Computations in Free Algebras |
| topic | Mathematical Software Symbolic Computation |
| url | https://arxiv.org/abs/2505.19304 |