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math.RA2023
Ozone groups of Artin--Schelter regular algebras satisfying a polynomial identity
Kenneth Chan, Jason Gaddis, Robert Won +1
We study the ozone group of noetherian Artin--Schelter regular algebras satisfying a polynomial identity (or PI for short). The ozone group was shown in previous work by the author…
math.RA2023
Ozone groups and centers of skew polynomial rings
Kenneth Chan, Jason Gaddis, Robert Won +1
We introduce the ozone group of a noncommutative algebra , defined as the group of automorphisms of which fix every element of its center. In order to initiate the study of…