The Strong Anick Conjecture

DOI10.1073/pnas.0509951103zbMath1161.16020OpenAlexW2162548586WikidataQ34596540 ScholiaQ34596540MaRDI QIDQ5385905

Jie-Tai Yu, Vesselin Drensky

Publication date: 7 May 2008

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.0509951103

zbMATH Keywords

tame automorphismsautomorphisms of free algebrasautomorphisms of polynomial algebraswild automorphisms, coordinates in free algebras

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Ordinary and skew polynomial rings and semigroup rings (16S36) Automorphisms and endomorphisms (16W20) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Actions of groups on commutative rings; invariant theory (13A50) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)

Related Items (4)

Stable tameness of automorphisms of \(F\langle x,y,z\rangle\) fixing \(z\). ⋮ The Jacobian Conjecture, Together with Specht and Burnside-Type Problems ⋮ Coordinates and automorphisms of polynomial and free associative algebras of rank three. ⋮ TAME AUTOMORPHISMS FIXING A VARIABLE OF FREE ASSOCIATIVE ALGEBRAS OF RANK THREE

Cites Work

• Polynomial automorphisms and Gröbner reductions
• On the extension of automorphisms of polynomial rings
• A jacobian conjecture for free associative algebras
• Poisson brackets and two-generated subalgebras of rings of polynomials
• The tame and the wild automorphisms of polynomial rings in three variables
• Tame and Wild Coordinates of 𝐾[𝑧[𝑥,𝑦]]
• A Realization Algorithm for SL₂(R[x₁ , . . . ,x_m) over the Euclidean Domain]
• The Nagata automorphism is wild
• The strong Nagata conjecture

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