4 papers
An Algebraic View of Amenable Groupoids
Karol Herrera, Andrés Rubiano
We introduce source-anchored algebraic amenability for Hausdorff ample groupoids, a Følner condition formulated in the Steinberg algebra and localized at compact open subsets of th…
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 polynomia…
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…
A view toward the smooth geometry of Sklyanin algebras
Karol Herrera, Sebastián Higuera, Andrés Rubiano
We study the differential smoothness of Sklyanin algebras in three and four variables. We show that all non-degenerate three-dimensional cases are differentially smooth, while none…