10 citations · 72 across the 23 of their papers we have counts for
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On the Image Conjecture for Locally Finite Derivations and -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…
Images of Ideals under Derivations and -Derivations of Univariate Polynomial Algebras over a Field of Characteristic Zero
Wenhua Zhao
Let be a field of characteristic zero and a free variable. A --derivation of is a -linear map of the form for some -algebra…
The LFED and LNED Conjectures for Laurent Polynomial Algebras
Wenhua Zhao
Let be an integral domain of characteristic zero, commutative free variables, and , i.e., the Laurent polynomial alge…
Idempotents in Intersection of the Kernel and the Image of Locally Finite Derivations and -derivations
Wenhua Zhao
Let be a field of characteristic zero, a -algebra and a -derivation of or --derivation of (i.e., $δ=\operatornam…
The LNED and LFED Conjectures for Algebraic Algebras
Wenhua Zhao
Let be a field of characteristic zero and a -algebra such that all the -subalgebras generated by finitely many elements of are finite dimensiona…
The Radical of the Kernel of a Certain Differential Operator and Applications to Locally Algebraic Derivations
Wenhua Zhao
Let be a commutative ring, an -algebra (not necessarily commutative) and an -subspace or -submodule of . By the radical of we mean the…
Some Open Problems on Locally Finite or Locally Nilpotent Derivations and -Derivations
Wenhua Zhao
Let be a commutative ring and an -algebra. An --derivation of is an -linear map of the form for some -alg…