10 citations · 72 across the 23 of their papers we have counts for
6 papers · 1 filter
Mathieu Subspaces of Univariate Polynomial Algebras
Arno van den Essen, Wenhua Zhao
We first give a characterization for Mathieu subspaces of univariate polynomial algebras over fields in terms of their radicals. We then deduce that for some classes of classical u…
Analogue of the Duistermaat-van der Kallen Theorem for Group Algebras
Wenhua Zhao, Roel Willems
Let be a group, an integral domain, and the subspace of the group algebra consisting of all the elements of whose coefficient of the identity element $1…
On the Image Conjecture
Arno van den Essen, David Wright, Wenhua Zhao
The Image Conjecture was formulated by the third author, who showed that it implied his Vanishing Conjecture, which is equivalent to the famous Jacobian Conjecture. We prove variou…
Mathieu Subspaces of Associative Algebras
Wenhua Zhao
Motivated by the Mathieu conjecture [Ma], the image conjecture [Z3] and the well-known Jacobian conjecture [K] (see also [BCW] and [E]), the notion of Mathieu subspaces as a natura…
A Generalization of Mathieu Subspaces to Modules of Associative Algebras
Wenhua Zhao
We first propose a generalization of the notion of Mathieu subspaces of associative algebras , which was introduced recently in [Z4] and [Z6], to -modules $…
Images of Locally Finite Derivations of Polynomial Algebras in Two Variables
Arno van den Essen, David Wright, Wenhua Zhao
In this paper we show that the image of any locally finite -derivation of the polynomial algebra in two variables over a field of characteristic zero is a Mathieu…