5 papers
Ozone groups and centers of two-parameter quantum Heisenberg algebras
James Gómez, Héctor Suárez, Helbert Venegas
Let be roots of unity with , and put and $t=\ord(pq)$. Up to isomorphism, the two-parameter quantum Heisenberg algebras $\mathcal H_{p,q}…
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…
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…
The PI Property in Algebras of Polynomial Type
James Gómez, Claudia Gallego
In this article, we study the PI property for several families of noncommutative algebras of polynomial type. Specifically, we review criteria for the PI property in double Ore ext…
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…