ON THE LND CONJECTURE

DOI10.1017/s000497272300059xOpenAlexW4382927780WikidataQ123001563 ScholiaQ123001563MaRDI QIDQ6090192

Xiaosong Sun, Unnamed Author

Publication date: 14 November 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497272300059x

zbMATH Keywords

locally nilpotent derivationsJacobian conjectureLND conjectureMZ-subspaces

Mathematics Subject Classification ID

Jacobian problem (14R15) Derivations and commutative rings (13N15) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)

Cites Work

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• Generalizations of the image conjecture and the Mathieu conjecture
• Some results on the vanishing conjecture of differential operators with constant coefficients
• Images of derivations of polynomial algebras with divergence zero
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• 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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