D. Yan

activity

20112026

most citedSome Remarks on the Jacobian Conjecture and Dru{ż}kowski mappings

10 citations · 34 across the 18 of their papers we have counts for

collaborators

20 papers

math.AG2026

Nilpotent Jacobian maps in dimension three and stable tameness in block extensions

Jie Wang, Dan Yan

We study polynomial maps in three variables with nilpotent Jacobian over a field of characteristic zero. The proposed classification reduces maps with linearly independent componen…

math.AC2026

The classification of some polynomial maps in dimension three

Yuan He, Dan Yan

In the paper, we classify all polynomial maps of the form $H = (u (x, y), v (x, y, z), h (x, y, z))$ in the case that $J H$ is nilpotent and $°_{z} v \geq 2 °_{z} h$ . Then we give the struc…

math.RA2022

Existence of Nonzero Trace-Zero Idempotents in the Group Algebras of Finite Groups

Wenhua Zhao, Dan Yan

Let $G$ be a finite group and $K$ a splitting field of $G$ of characteristic $p > 0$ . Denote by $K G$ the group algebra of $G$ over $K$ and $Z (K G)$ the center of $K G$ . Let $V_{G}$ be th…

math.AG2022

Simple derivations and their images

Ruiyan Sun, Dan Yan

In the paper, we prove that the derivation $D = y \partial_{x} + (a_{2} (x) y^{2} + a_{1} (x) y + a_{0} (x)) \partial_{y}$ of $K [x, y]$ with $a_{2} (x), a_{1} (x), a_{0} (x) \in K [x]$ is simple iff the following conditio…

math.AG2022

The images of some simple derivations

Dan Yan

In the paper, we study the relation between the images of polynomial derivations and their simplicity. We prove that the images of simple Shamsuddin derivations are not Mathieu-Zha…

math.RA2021

The kernels of the linear maps of finite Abelian group algebras

Dan Yan

In our paper, we give a necessary and sufficient conditions for the kernels of the linear maps of finite Abelian group algebras to be Mathieu-Zhao spaces of $K [G]$ if $G$ is a fini…