4 papers · 1 filter
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…
Noncommutative coding theory and algebraic sets for skew PBW extensions
Oswaldo Lezama, Claudia Gallego
The classical commutative coding theory has been recently extended to noncommutative rings of polynomial type. There are many interesting works in coding theory over single Ore ext…
Stable rank of down-up algebras
Claudia Gallego, Andrea Solotar
We investigate the behavior of finitely generated projective modules over a down-up algebra. Specifically, we show that every noetherian down-up algebra has a non-free,…