Relative Dixmier property for Poisson algebras

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Hongdi Huang, Zahra Nazemian, Xin An Tang, Xingting Wang, Yanhua Wang, James J. Zhang
DOI: 10.48550/arxiv.2601.18249
Cited by: 0

Abstract

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 concept has applications in proving that several classes of Poisson algebras possess the Dixmier property, as well as in other topics such as the cancellation problem and the non-existence of Hopf coactions.

Fields of Study & Subjects

Advanced Topics in Algebra Advanced Operator Algebra Research Rings Modules and Algebras

Publication details

Journal / source
arXiv (Cornell University)
Publication date
26 January 2026
Document type
Preprint