Images of linear derivations and linear E-derivations of K[x,y,z]

DOI10.1080/00927872.2022.2026371zbMath1490.14096arXiv2105.00386OpenAlexW4207066723MaRDI QIDQ5080194

Haifeng Tian, Hongyu Jia, Xiankun Du

Publication date: 31 May 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.00386

zbMATH Keywords

linear derivationMathieu-Zhao subspaceLFED conjecture\(\mathcal{E}\)-derivation

Mathematics Subject Classification ID

Jacobian problem (14R15)

Related Items (2)

Image of linear K -derivations and linear ΚƐ-derivations of K [ x ₁ , x ₂ , x ₃ , x ₄ ] ⋮ Images of locally finite \(\mathcal{E} \)-derivations of bivariate polynomial algebras

Cites Work

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• Mathieu subspaces of associative algebras
• Images of locally finite derivations of polynomial algebras in two variables
• 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
• Monomial preserving derivations and Mathieu-Zhao subspaces
• Images of locally nilpotent derivations of polynomial algebras in three variables
• Generalizations of the image conjecture and the Mathieu conjecture
• Images of derivations of polynomial algebras with divergence zero
• Some open problems on locally finite or locally nilpotent derivations and ℰ-derivations
• THE FACTORIAL CONJECTURE AND IMAGES OF LOCALLY NILPOTENT DERIVATIONS
• Algebraic theory of locally nilpotent derivations

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