Polynomial Retracts and the Jacobian Conjecture

DOI10.1090/S0002-9947-99-02251-5zbMath0944.13011arXivmath/9701210OpenAlexW1848063002WikidataQ123232416 ScholiaQ123232416MaRDI QIDQ4700138

Vladimir Shpilrain, Jie-Tai Yu

Publication date: 1 November 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9701210

zbMATH Keywords

Jacobian conjectureproper retract of polynomial algebra

Mathematics Subject Classification ID

Jacobian problem (14R15) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25)

Related Items

POLYNOMIAL ENDOMORPHISMS PRESERVING OUTER RANK IN TWO VARIABLES, Retracts that are kernels of locally nilpotent derivations, A class of retracts of polynomial algebras, Free actions ofp-groups on affine varieties in characteristicp, On necessary and sufficient conditions for the real Jacobian conjecture, Galois ring extensions and localized modular rings of invariants of \(p\)-groups, FIXED ELEMENTS OF NONINJECTIVE ENDOMORPHISMS OF POLYNOMIAL ALGEBRAS IN TWO VARIABLES, Automorphic orbit problem for polynomial algebras, Test elements, retracts and automorphic orbits., Primitive, almost primitive, test, and \(\Delta\)-primitive elements of free algebras with the Nielsen-Schreier property, Non-extendable isomorphisms between affine varieties

Cites Work

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• The Jacobian conjecture in two variables
• Newton polygons of jacobian pairs
• Retracts of polynomial rings
• On polynomials whose fibers are irreducible with no critical points
• Lectures on expansion techniques in algebraic geometry. With notes by Balwant Singh
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Injectivity on one line
• Test Words for Automorphisms of Free Groups