Finite Gröbner-Shirshov bases for double extension regular algebras of type (14641)
Karol Herrera, Sebastián Higuera, Andrés Rubiano
Published: 2025/9/6
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.