2 papers
math.RA2026
PI Artin--Schelter regular algebras of dimension 3 are unique factorization rings
Silu Liu, Quanshui Wu
We prove that all noetherian PI Artin--Schelter regular algebras of dimension are unique factorization rings. In a certain sense, this result is a noncommutative analogue to th…
math.RA2025
The ozone groups of PI Artin-Schelter regular algebras are abelian
Silu Liu, Quanshui Wu, Ruipeng Zhu
We prove that the ozone group of any PI Artin-Schelter regular algebra is abelian, which answers a question of Chan-Gaddis-Won-Zhang. For any Calabi-Yau PI Artin-Schelter regular a…