The Ozone groups of PI Artin-Schelter regular algebras are abelian

Published 24 Dec 2025 in math.RA | (2512.21056v1)

Abstract: 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 algebra, we prove that the homological determinant of its ozone group acting on it is trivial.

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