Images of ideals under derivations and ℰ-derivations of univariate polynomial algebras over a field of characteristic zero
DOI10.1142/s0219498824501287arXiv1701.06125OpenAlexW4319660866MaRDI QIDQ6192159
Publication date: 11 March 2024
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.06125
Bernoulli numbersBernoulli polynomialslocally finite or locally nilpotent derivations and \(\mathcal{E}\)-derivationsMathieu subspaces (Mathieu-Zhao spaces)the Clausen-von Staudt theoremthe LFED conjecturethe LNED conjecture
Commutators, derivations, elementary operators, etc. (47B47) Derivations, actions of Lie algebras (16W25) Automorphisms and endomorphisms of algebraic structures (08A35) Modules, bimodules and ideals in associative algebras (16D99)
Cites Work
- Mathieu-Zhao spaces of univariate polynomial rings with non-zero strong radical
- Mathieu subspaces of associative algebras
- Images of locally finite derivations of polynomial algebras in two variables
- Moment vanishing problem and positivity: some examples
- Images of commuting differential operators of order one with constant leading coefficients
- Polynomial automorphisms and the Jacobian conjecture
- Idempotents in intersection of the kernel and the image of locally finite derivations and \(\mathcal{E}\)-derivations
- On images of locally finite derivations and \(\mathcal{E}\)-derivations
- Generalizations of the image conjecture and the Mathieu conjecture
- Mathieu subspaces of univariate polynomial algebras
- The LNED and LFED conjectures for algebraic algebras
- On polynomials orthogonal to all powers of a given polynomial on a segment
- The Gaussian moments conjecture and the Jacobian conjecture
- A Kleinecke–Shirokov type condition with Jordan automorphisms
- Derivations in Prime Rings
- The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
- The Noncommutative Singer-Wermer Conjecture and ϕ-Derivations
- Some open problems on locally finite or locally nilpotent derivations and ℰ-derivations
- Polynomial Automorphisms and the Jacobian Conjecture
- Quantum calculus
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Images of ideals under derivations and ℰ-derivations of univariate polynomial algebras over a field of characteristic zero