THE FACTORIAL CONJECTURE AND IMAGES OF LOCALLY NILPOTENT DERIVATIONS

DOI10.1017/S0004972719000546zbMath1430.14113WikidataQ123342321 ScholiaQ123342321MaRDI QIDQ5212963

Xiaosong Sun, Da-Yan Liu

Publication date: 31 January 2020

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

zbMATH Keywords

locally nilpotent derivationsJacobian conjecturefactorial conjectureMathieu-Zhao subspaces

Mathematics Subject Classification ID

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

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Cites Work

• The strong factorial conjecture
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• 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
• IMAGES OF HIGHER-ORDER DIFFERENTIAL OPERATORS OF POLYNOMIAL ALGEBRAS