Some Remarks on Polynomial Maps

DOI10.1080/00927872.2015.1027350zbMath1342.14125OpenAlexW2295019485MaRDI QIDQ2810608

Dan Yan, Guoping Tang

Publication date: 3 June 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2015.1027350

zbMATH Keywords

Jacobian conjecturepolynomial mapssemi-elementary matrix

Mathematics Subject Classification ID

Jacobian problem (14R15) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)

Cites Work

• Keller's problem
• A Jacobian criterion for separability
• Exact and coexact matrices
• A case of the Jacobian conjecture
• An effective approach to Keller's Jacobian conjecture
• Polynomial maps with strongly nilpotent Jacobian matrix and the Jacobian conjecture
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Strong nilpotence holds in dimensions up to five only^∗
• On generalized strongly nilpotent matrices
• The strong nilpotency index of a matrix

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