On the differential smoothness of 3-dimensional skew polynomial algebras and diffusion algebras
Armando Reyes, Cristian Sarmiento
TL;DR
This paper investigates the differential smoothness properties of 3-dimensional skew polynomial and diffusion algebras, providing insights into their geometric and algebraic structures.
Contribution
It offers a novel analysis of differential smoothness in these specific classes of noncommutative algebras, expanding understanding in noncommutative geometry.
Findings
Identifies conditions for differential smoothness in 3D skew polynomial algebras
Establishes differential properties of diffusion algebras
Provides new classifications based on smoothness criteria
Abstract
In this paper, we study the differential smoothness of 3-dimensional skew polynomial algebras and diffusion algebras.
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Taxonomy
TopicsAdvanced Topics in Algebra