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Tame and wild coordinates of \(\mathbb Z[x,y]\).

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Publication:1880679
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DOI10.1016/j.jalgebra.2003.08.022zbMath1064.13007OpenAlexW1967080375MaRDI QIDQ1880679

Chi-Ming Lam, Jie-Tai Yu

Publication date: 1 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.08.022


zbMATH Keywords

algorithmwild automorphismstame automorphismsautomorphisms of polynomial algebrastame coordinateswild coordinates


Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Actions of groups on commutative rings; invariant theory (13A50) Polynomials over commutative rings (13B25) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)


Related Items

The Linear Coordinate Preserving Problem



Cites Work

  • The amalgamated free product structure of \(\mathrm{GL}_2(k[X_1,\dots ,X_n )\) and the weak Jacobian theorem for two variables]
  • Polynomial automorphisms and Gröbner reductions
  • Polynomial automorphisms and the Jacobian conjecture
  • Length 2 variables of A[x,y and transfer]
  • Tame and Wild Coordinates of 𝐾[𝑧[𝑥,𝑦]]
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