3 papers
math.AG2026
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…
math.RA2025
Aut-stable subspaces of Grassmann algebras
Mithat Konuralp Demir, Zahra Nazemian
Recently, the concept of Aut-stable subspaces has played an important role in the characterization of polynomial rings, a topic that remains a challenging problem in algebraic geom…
math.RT2025
Relative Cancellation
Hongdi Huang, Zahra Nazemian, Yanhua Wang +1
We introduce and study a relative cancellation property for associative algebras. We also prove a characterization result for polynomial rings which partially answers a question of…