Wen-Hua Zhao

most citedImages of Ideals under Derivations and

E

-Derivations of Univariate Polynomial Algebras over a Field of Characteristic Zero

10 citations · 18 across the 4 of their papers we have counts for

collaborators

9 papers

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.RA2022

A Family of Maximal Mathieu Subspaces of Matrix Algebras

George F. Seelinger, Wenhua Zhao

Let $F$ be a field. In this note we give a construction for a family of maximal Mathieu subspaces (or Mathieu-Zhao subspaces) of the matrix algebras $M_{n} (F)$ $(n \geq 2)$ . As an appl…

math.AC2017

On the Image Conjecture for Locally Finite Derivations and $E$ -Derivations

Arno van den Essen, Wenhua Zhao

Some cases of the LFED Conjecture, proposed by the second author [Z3], for certain integral domains are proved. In particular, the LFED Conjecture is completely established for the…

math.AC2017★ 10 cited

Images of Ideals under Derivations and $E$ -Derivations of Univariate Polynomial Algebras over a Field of Characteristic Zero

Wenhua Zhao

Let $K$ be a field of characteristic zero and $x$ a free variable. A $K$ - $E$ -derivation of $K [x]$ is a $K$ -linear map of the form $I - ϕ$ for some $K$ -algebra…

math.AC2017★ 8 cited

The LFED and LNED Conjectures for Laurent Polynomial Algebras

Wenhua Zhao

Let $R$ be an integral domain of characteristic zero, $x = (x_{1}, x_{2}, ..., x_{n})$ $n$ commutative free variables, and $A_{n} := R [x^{- 1}, x]$ , i.e., the Laurent polynomial alge…

math.RA2017

Idempotents in Intersection of the Kernel and the Image of Locally Finite Derivations and $E$ -derivations

Wenhua Zhao

Let $K$ be a field of characteristic zero, $A$ a $K$ -algebra and $δ$ a $K$ -derivation of $A$ or $K$ - $E$ -derivation of $A$ (i.e., $δ=\operatornam…

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

A Family of Maximal Mathieu Subspaces of Matrix Algebras

On the Image Conjecture for Locally Finite Derivations and E-Derivations

Images of Ideals under Derivations and E-Derivations of Univariate Polynomial Algebras over a Field of Characteristic Zero

The LFED and LNED Conjectures for Laurent Polynomial Algebras

Idempotents in Intersection of the Kernel and the Image of Locally Finite Derivations and E-derivations

On the Image Conjecture for Locally Finite Derivations and $E$ -Derivations

Images of Ideals under Derivations and $E$ -Derivations of Univariate Polynomial Algebras over a Field of Characteristic Zero

Idempotents in Intersection of the Kernel and the Image of Locally Finite Derivations and $E$ -derivations