Smooth geometry of skew PBW extensions over commutative polynomial rings I
Andr\'es Rubiano, Armando Reyes
TL;DR
This paper studies the differential smoothness properties of skew PBW extensions over polynomial rings with one or two variables, providing insights into their geometric structure.
Contribution
It introduces a detailed analysis of the differential smoothness of skew PBW extensions over low-dimensional polynomial rings.
Findings
Identifies conditions for differential smoothness.
Establishes geometric properties of skew PBW extensions.
Provides new theoretical insights into noncommutative algebraic geometry.
Abstract
In this paper, we investigate the differential smoothness of skew PBW extensions over commutative polynomial rings on one and two indeterminates.
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Taxonomy
TopicsRings, Modules, and Algebras · Advanced Topics in Algebra · Algebraic structures and combinatorial models