A note on the differential smoothness of skew PBW extensions
Andr\'es Rubiano, Armando Reyes
TL;DR
This paper explores the differential smoothness property of a specific class of skew PBW extensions, providing insights into their algebraic structure and potential applications.
Contribution
It introduces the concept of differential smoothness in the context of skew PBW extensions and analyzes its properties for a particular family.
Findings
Identifies conditions for differential smoothness in skew PBW extensions
Establishes new theoretical results on algebraic properties
Provides a foundation for future research in noncommutative geometry
Abstract
We investigate the differential smoothness of a certain family of skew Poincar\'e-Birkhoff-Witt extensions.
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Taxonomy
TopicsOptimization and Variational Analysis · Advanced Banach Space Theory · Advanced Topology and Set Theory