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math.RA2022
On types of elements, Gelfand and strongly harmonic rings of skew PBW extensions over weak compatible rings
Andrés Chacón, Sebastián Higuera, Armando Reyes
We investigate and characterize several kinds of elements such as units, idempotents, von Neumann regular, -regular and clean elements for skew PBW extensions over weak compatib…
math.RA2022
On Weak Annihilators and Nilpotent Associated Primes of Skew PBW Extensions
Sebastián Higuera, Armando Reyes
We investigate the notions of weak annihilator and nilpotent associated prime defined by Ouyang and Birkenmeier \cite{OuyangBirkenmeier2012} in the setting of noncommutative rings…