Finite Gröbner-Shirshov bases for double extension regular algebras of type (14641)
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914025897459712 |
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| author | Herrera, Karol Higuera, Sebastián Rubiano, Andrés |
| author_facet | Herrera, Karol Higuera, Sebastián Rubiano, Andrés |
| contents | In this paper, we compute the Gröbner-Shirshov bases for certain regular double extension algebras by means of an algorithm implemented in Matlab, which facilitates the underlying algebraic computations. Moreover, we establish that these families also admit a PBW basis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05583 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite Gröbner-Shirshov bases for double extension regular algebras of type (14641) Herrera, Karol Higuera, Sebastián Rubiano, Andrés Rings and Algebras Quantum Algebra 16W70, 16S36, 16S37, 16Z05, 16P90, 16S80, 14A22 In this paper, we compute the Gröbner-Shirshov bases for certain regular double extension algebras by means of an algorithm implemented in Matlab, which facilitates the underlying algebraic computations. Moreover, we establish that these families also admit a PBW basis. |
| title | Finite Gröbner-Shirshov bases for double extension regular algebras of type (14641) |
| topic | Rings and Algebras Quantum Algebra 16W70, 16S36, 16S37, 16Z05, 16P90, 16S80, 14A22 |
| url | https://arxiv.org/abs/2509.05583 |