3 papers
math.RA2018
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.…
math.RA2018
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…
math.RA2017
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…