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math.RA2013★ 7 cited
Some homological properties of skew PBW extensions
Oswaldo Lezama, Armando Reyes
We prove that if R is a left Noetherian and left regular ring then the same is true for any bijective skew PBW extension A of R. From this we get Serre's Theorem for such extension…
math.RA2013
Ore and Goldie theorems for skew PBW extensions
Oswaldo Lezama, Juan Pablo Acosta, Cristian Chaparro +2
Many rings and algebras arising in quantum mechanics can be interpreted as skew PBW (Poincaré-Birkhoff-Witt) extensions. Indeed, Weyl algebras, enveloping algebras of finite-dimens…