Noncommutative-nilpotent matrices and the jacobian conjecture

DOI10.1080/03081089608818472zbMath0874.15008OpenAlexW2094203924WikidataQ123243966 ScholiaQ123243966MaRDI QIDQ4336778

Jie-Tai Yu

Publication date: 25 June 1997

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081089608818472

zbMATH Keywords

tensor algebrasJacobian conjecturenoncommutative matricesstrongly nilpotent matrices

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Automorphisms of curves (14H37) Canonical forms, reductions, classification (15A21)

Related Items (1)

The strong nilpotency index of a matrix

Cites Work

• Keller's problem
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Strong nilpotence holds in dimensions up to five only^∗
• The jacobian conjecture: linear triangularizatlon for cubics in dimension three
• Locally Finite and Locally Nilpotent Derivations with Applications to Polynomial Flows, Morphisms, and G a -Actions. II

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