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math.RA2024
A note on the differential smoothness of skew PBW extensions
Andrés Rubiano, Armando Reyes
We investigate the differential smoothness of a certain family of skew Poincaré-Birkhoff-Witt extensions.
math-ph2024
Smooth Geometry of Diffusion Algebras
Andrés Rubiano, Armando Reyes
In this paper, we study the differential smoothness of diffusion algebras.
math.RA2024
Smooth geometry of double extension regular algebras of type (14641)
Andrés Rubiano, Armando Reyes
In this paper, we prove that double extension regular algebras of type (14641) are not differentially smooth.
math.QA2024
Smooth geometry of skew PBW extensions over commutative polynomial rings I
Andrés Rubiano, Armando Reyes
In this paper, we investigate the differential smoothness of skew PBW extensions over commutative polynomial rings on one and two indeterminates.
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.