D. Yan

activity

20172026

collaborators

Showing 2022Show all

2 papers · 1 filter

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…