4 papers · 1 filter
Homological regularities and concavities
Ellen Kirkman, Robert Won, James J. Zhang
This paper concerns homological notions of regularity for noncommutative algebras. Properties of an algebra are reflected in the regularities of certain (complexes of) -modu…
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…
Higher rank Bell--Rogalski algebras
Jason Gaddis, Daniele Rosso, Robert Won
We generalize a construction of Bell and Rogalski to realize new examples of -graded simple rings. This construction also generalizes TGWAs of type . In addi…
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…