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math.RA2025
Log-ozone groups and centers of polynomial Poisson algebras
Kenneth Chan, Jason Gaddis, Robert Won +1
In previous work, the authors introduced the ozone group of an associative algebra as the subgroup of automorphisms which fix the center pointwise. The authors studied PI skew poly…
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…