2 citations · 6 across the 13 of their papers we have counts for
13 papers
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.
Twists of graded Poisson algebras and related properties
Xin Tang, Xingting Wang, James J. Zhang
We introduce a Poisson version of the graded twist of a graded associative algebra and prove that every graded Poisson structure on a connected graded polynomial ring $A:=\Bbbk[x_1…
Cancellation of Morita and Skew Types
Xin Tang, James J. Zhang, Xiangui Zhao
We study both Morita cancellative and skew cancellative properties of noncommutative algebras as initiated recently in several papers and explore that which classes of noncommutati…
The Automorphism Groups for a family of Generalized Weyl Algebras
Xin Tang
In this paper, we study a family of generalized Weyl algebras $\{\A\}$ and their polynomial extensions. We will show that the algebra $\A$ has a simple localization $\A_{\mathbb{S}…
On supersolubility of finite groups admitting a Frobenius group of automorphisms with fixed-point-free kernel
Xingzheng Tang, Xiaoyu Chen, Wenbin Guo
Assume that a finite group admits a Frobenius group of automorphisms with kernel and complement such that . In this paper, we investigate this situatio…
Algebra endomorphisms and Derivations of Some Localized Down-Up Algebras
Xin Tang
We study algebra endomorphisms and derivations of some localized down-up algebras $\A$. First, we determine all the algebra endomorphisms of $\A$ under some conditions on and $…