Endomorphisms Preserving Coordinates of Polynomial Algebras

DOI10.1142/S1005386713000497zbMath1284.13028arXiv1110.4317MaRDI QIDQ2854041

Yu-Chang Li, Jie-Tai Yu

Publication date: 17 October 2013

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

Full work available at URL: https://arxiv.org/abs/1110.4317

zbMATH Keywords

endomorphismsJacobianpolynomial algebrasautomorphismslinear coordinatestame coordinates

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)

Cites Work

• Test elements, retracts and automorphic orbits.
• A solution of the problem of van den Essen and Shpilrain
• Some combinatorial questions about polynomial mappings
• A solution of the problem of van den Essen and Shpilrain. II
• Automorphic orbit problem for polynomial algebras
• The Linear Coordinate Preserving Problem
• Endomorphisms of the plane sending linear coordinates to coordinates

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