Noncommutative differential geometry of ambiskew polynomial rings
Andr\'es Rubiano, Armando Reyes
TL;DR
This paper establishes criteria for when ambiskew polynomial rings are differentially smooth, expanding understanding of their geometric properties in noncommutative geometry.
Contribution
It provides new sufficient conditions for differential smoothness of ambiskew polynomial rings, a class of noncommutative algebras.
Findings
Identifies criteria ensuring differential smoothness
Advances the understanding of noncommutative geometric structures
Builds on previous work by D. A. Jordan
Abstract
We determine sufficient criteria for the differential smoothness of ambiskew polynomial rings defined and studied by D. A. Jordan in several papers \cite{FishJordan2019, Jordan1993b, Jordan2000, JordanWells2013}.
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