2026/109/3-4 (7)
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DOI: 10.5486/PMD.2026.10428
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pp. 403-433
In this sequel to [55], [56], we study the differential smoothness of skew PBW extensions over commutative polynomial rings in $n\ge 3$ indeterminates over fields. We extend previous results on the differential smoothness of algebras appearing in noncommutative algebraic geometry.
Differential smoothness of skew PBW extensions over commutative polynomial rings. II
Authors:
Andrés Rubiano 
and Armando Reyes
Abstract:
In this sequel to [55], [56], we study the differential smoothness of skew PBW extensions over commutative polynomial rings in $n\ge 3$ indeterminates over fields. We extend previous results on the differential smoothness of algebras appearing in noncommutative algebraic geometry.
Keywords: differentially smooth algebra, differential calculus, integrable calculus, Ore extension, skew PBW extension
Mathematics Subject Classification: 16E45, 16S30, 16S32, 16S36, 16S38, 16S99, 16W20, 16T05, 58B34