3 papers
math.RA2026
The ozone groups of the algebras
James Gómez, Helbert Venegas
Let be a primitive -th root of unity, , and let be a nonzero polynomial such that for every $j\in\supp(f)$. Set $e=\gcd(n,\{j+1:j\in\supp(f)\})$. We s…
math.RA2026
The PI property of skew PBW extensions
James Gómez, Claudia Gallego
In this article we study the polynomial identity (PI) property of skew PBW extensions. We show that every bijective skew PBW extension over a prime PI-algebra has nontrivial center…
math.RA2018
Double Ore extensions versus graded skew PBW extensions
James Yair Gómez, Héctor Suárez
In this paper we present necessary and sufficient conditions for a graded (trimmed) double Ore extension to be a graded (quasi-commutative) skew PBW extension. Using this fact, we…