Showing 2026Show all
3 papers · 1 filter
math.CO2026
Combinatorial aspects of normal ordering of 3-dimensional skew polynomial rings
Andrés Rubiano, Armando Reyes
In this paper, we discuss combinatorial aspects of normal ordering of 3-dimensional skew polynomial rings defined and classified by Bell and Smith \cite{BellSmith1990}. With some h…
math.DG2026
Noncommutative differential geometry of ambiskew polynomial rings
Andrés Rubiano, Armando Reyes
We determine sufficient criteria for the differential smoothness of ambiskew polynomial rings defined and studied by D. A. Jordan in several papers \cite{FishJordan2019, Jordan1993…
math.DG2026
On the smoothness of 3-dimensional skew polynomial rings
Andrés Rubiano, Armando Reyes
This paper is part of a series of papers in which we have investigated the differential smoothness of families of noncommutative algebras. Here, we consider this topic for the fami…