5 papers
Relative Dixmier property for Poisson algebras
Hongdi Huang, Zahra Nazemian, Xin Tang +3
Dixmier property concerns the bijectivity of endomorphisms for algebras. We introduce a relative Dixmier property, which is a generalization of the Dixmier property. This new conce…
Valuation method for Nambu-Poisson algebras
Hongdi Huang, Xin Tang, Xingting Wang +1
Automorphism, isomorphism, and embedding problems are investigated for a family of Nambu-Poisson algebras (or -Lie Poisson algebras) using Poisson valuations.
Weighted Poisson polynomial rings in dimension three
Hongdi Huang, Xin Tang, Xingting Wang +1
We discuss Poisson structures on a weighted polynomial algebra defined by a homogeneous element , called a potential. We start with classifying potentia…
Poisson valuations
Hongdi Huang, Xin Tang, Xingting Wang +1
We study Poisson valuations and provide their applications in solving problems related to rigidity, automorphisms, Dixmier property, isomorphisms, and embeddings of Poisson algebra…
Cancellation problem for AS-Regular algebras of dimension three
X. Tang, H. J. Venegas Ramirez, J. J. Zhang
We study a noncommutative version of the Zariski cancellation problem for some classes of connected graded Artin-Schelter regular algebras of global dimension three.