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math.RA2021
On NI and NJ skew PBW extensions
Héctor Suárez, Andrés Chacón, Armando Reyes
We establish necessary or sufficient conditions to guarantee that skew Poincaré-Birkhoff-Witt extensions are NI or NJ rings. Our results extend those corresponding for skew polynom…
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…