Reflexive hull discriminants and applications
We introduce the reflexive hull discriminant as a tool to study noncommutative algebras that
are finitely generated, but not necessarily free, over their centers. As an example, we …
are finitely generated, but not necessarily free, over their centers. As an example, we …
Cancellation and skew cancellation for Poisson algebras
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 …
particular, we prove those with Poisson bracket either being quadratic or derived from a Lie …
Cancellation problem for AS-regular algebras of dimension three
X Tang, VR HJ, JJ Zhang - Pacific J. Math, 2021 - msp.org
The classical Zariski cancellation problem for commutative polynomial rings has a long
history; see the very nice survey paper [Gupta 2015]. A noncommutative version of the …
history; see the very nice survey paper [Gupta 2015]. A noncommutative version of the …
Cancellation of Morita and skew types
X Tang, JJ Zhang, X Zhao - Israel Journal of Mathematics, 2021 - Springer
We study both Morita cancellative and skew cancellative properties of noncommutative
algebras as initiated recently in several papers and explore which classes of …
algebras as initiated recently in several papers and explore which classes of …
[PDF][PDF] A survey on Zariski cancellation problems for noncommutative and Poisson algebras
arXiv:2304.05914v2 [math.RA] 15 Sep 2023 Page 1 arXiv:2304.05914v2 [math.RA] 15 Sep
2023 A SURVEY ON ZARISKI CANCELLATION PROBLEMS FOR NONCOMMUTATIVE AND …
2023 A SURVEY ON ZARISKI CANCELLATION PROBLEMS FOR NONCOMMUTATIVE AND …
Contemporary Mathematics Volume 801, 2024
H Huang, X Tang, X Wang - Recent Advances in …, 2024 - books.google.com
Contemporary Mathematics Volume 801, 2024 Page 152 Contemporary Mathematics Volume
801, 2024 https://doi. org/10.1090/conm/801/16085 A survey on Zariski cancellation problems …
801, 2024 https://doi. org/10.1090/conm/801/16085 A survey on Zariski cancellation problems …
[PDF][PDF] Noncommutative Geometry and Noncommutative Invariant Theory: 22w5084
J Bell, C Walton - birs.ca
We are grateful to BIRS for supporting this five-day workshop, which brought together 22 in-
person researchers (with an additional 22 virtual participants). The participants included a …
person researchers (with an additional 22 virtual participants). The participants included a …
On Hopf Ore Extensions and Zariski Cancellation Problems
H Huang - 2020 - uwspace.uwaterloo.ca
In this thesis, we investigate Ore extensions of Hopf algebras and the Zariski Cancellation
problem for noncommutative rings. In particular, we improve upon the existing conditions for …
problem for noncommutative rings. In particular, we improve upon the existing conditions for …