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arXiv · 2509.05583

Finite Gr\"obner-Shirshov bases for double extension regular algebras of type (14641)

Karol Herrera·Sebastián Higuera·Andrés Rubiano
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Abstract

In this paper, we compute the Gr\"obner-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.

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Karol Herrera, Sebastián Higuera, Andrés Rubiano. 2025-09-06. Finite Gr\"obner-Shirshov bases for double extension regular algebras of type (14641). https://arxiv.org/abs/2509.05583

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