6 papers · 1 filter
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…
A note on explicit homological invariants of graded double Ore extensions
Andrés Rubiano
We compute explicit homological invariants of a trimmed graded double Ore extension of the quantum plane. For a pilot family of type (14641), we determine the minimal graded free r…
Center of double extension regular algebras of type (14641)
Andrés Rubiano
In this paper we compute the center and, in several cases, central subalgebras of double Ore extensions of type (14641) under suitable restrictions on the defining parameters. Part…
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…
On differential smoothness of certain Artin-Schelter regular algebras of dimension 5
Andrés Rubiano
This article investigates the differential smoothness of various five-dimensional Artin-Schelter regular algebras. By analyzing the relationship between the number of generators an…