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math.DG2026
Noncommutative differential geometry of ambiskew polynomial rings
Andrés Rubiano, Armando Reyes
We determine sufficient criteria for the differential smoothness of ambiskew polynomial rings defined and studied by D. A. Jordan in several papers \cite{FishJordan2019, Jordan1993…
math.DG2026
On the smoothness of 3-dimensional skew polynomial rings
Andrés Rubiano, Armando Reyes
This paper is part of a series of papers in which we have investigated the differential smoothness of families of noncommutative algebras. Here, we consider this topic for the fami…
math.DG2025
Differential smoothness of bi-quadratic algebras with PBW basis
Andrés Rubiano, Armando Reyes
We investigate the differential smoothness of bi-quadratic algebras with PBW basis.
math.DG2024
Smooth geometry of bi-quadratic algebras on three generators with PBW basis
Andrés Rubiano, Armando Reyes
In this paper, we investigate the differential smoothness of bi-quadratic algebras on three generators with PBW basis.