Hongdi Huang

activity

20192023

most citedHopf Ore Extensions

4 citations · 10 across the 11 of their papers we have counts for

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5 papers · 1 filter

math.RA2023

A survey on Zariski cancellation problems for noncommutative and Poisson algebras

Hongdi Huang, Xin Tang, Xingting Wang

In this article, we discuss some recent developments of the Zariski Cancellation Problem in the setting of noncommutative algebras and Poisson algebras.

math.RA2021

A cogroupoid associated to preregular forms

Hongdi Huang, Van C. Nguyen, Charlotte Ure +3

We construct a family of cogroupoids associated to preregular forms and recover the Morita-Takeuchi equivalence for Artin-Schelter regular algebras of dimension two, observed by Ra…

math.RA2021★ 1 cited

Twisting of graded quantum groups and solutions to the quantum Yang-Baxter equation

Hongdi Huang, Van C. Nguyen, Charlotte Ure +3

Let $H$ be a Hopf algebra that is $Z$ -graded as an algebra. We provide sufficient conditions for a 2-cocycle twist of $H$ to be a Zhang twist of $H$ . In particular, we intr…

math.RA2019

Noncommutative analogues of a cancellation theorem of Abhyankar, Eakin, and Heinzer

Jason P. Bell, Maryam Hamidizadeh, Hongdi Huang +1

Let $k$ be a field and let $A$ be a finitely generated $k$ -algebra. The algebra $A$ is said to be cancellative if whenever $B$ is another $k$ -algebra with the property that $A[x]\c…

math.RA2019★ 4 cited

Hopf Ore Extensions

Hongdi Huang

Brown, O'Hagan, Zhang, and Zhuang gave a set of conditions on an automorphism $σ$ and a $σ$ -derivation $δ$ of a Hopf $k$ -algebra $R$ for when the skew polynomial extension $T=R[x,…