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math.RA2025
On the annihilator condition for skew PBW extensions
Karol Herrera, Sebastián Higuera, Andrés Rubiano
We investigate the annihilator condition for skew Poincaré-Birkhoff-Witt extensions. We prove that some results about the annihilator condition for skew polynomi…
math.RA2025
Finite Gröbner-Shirshov bases for double extension regular algebras of type (14641)
Karol Herrera, Sebastián Higuera, Andrés Rubiano
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…