15 citations · 21 across the 7 of their papers we have counts for
7 papers
A family of algebras with trivial ozone group
Jason Gaddis, Daniel Yee
We study a family of Calabi--Yau algebras that include the quadratic Artin--Schelter regular algebras associated to a nodal cubic. It is shown that these algebras have trivial ozon…
Cancellation and skew cancellation for Poisson algebras
Jason Gaddis, Xingting Wang, Daniel Yee
We study the Zariski cancellation problem for Poisson algebras in three variables. In particular, we prove those with Poisson bracket either being quadratic or derived from a Lie a…
Congenial Algebras: Extensions and Examples
Jason Gaddis, Daniel Yee
We study the congeniality property of algebras, as defined by Bao, He, and Zhang, in order to establish a version of Auslander's theorem for various families of filtered algebras.…
The Dixmier-Moeglin equivalence, Morita equivalence, and homeomorphism of spectra
Jason Bell, Xingting Wang, Daniel Yee
Let be a field and let be a left noetherian -algebra. The algebra satisfies the Dixmier-Moeglin equivalence if the annihilators of irreducible representations are pr…
Extensions of Enveloping Algebras by Anti-Cocommutative Elements
Daniel Yee
Anti-cocommutative elements were introduced by Wang, Zhang, Zhuang (2013) in their paper Coassociative Lie Algebras. We use this notion to extend universal enveloping algebras of L…
Discriminants of Taft algebra smash products and applications
Jason Gaddis, Robert Won, Daniel Yee
A general criterion is given for when the center of a Taft algebra smash product is the fixed ring. This is applied to the study of the noncommutative discriminant. Our method reli…
Extending Enveloping Algebras via Anti-Cocommutative Elements
Daniel Yee
Anti-cocommutativity was introduced by Wang, Zhuang, Zhang (2013) in their paper Coassociative Lie algebras. Since universal enveloping algebras of Lie algebras are connected Hopf…