Polynomial automorphisms and Gröbner reductions

DOI10.1006/jabr.1997.7083zbMath0899.13029OpenAlexW1982896878MaRDI QIDQ1375368

Vladimir Shpilrain, Jie-Tai Yu

Publication date: 17 November 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7083

zbMATH Keywords

Gröbner basisJacobian conjecturepolynomial algebra

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) Polynomials over commutative rings (13B25)

Related Items

Tame and wild coordinates of \(\mathbb Z[x,y\).], UFDs with commuting linearly independent locally nilpotent derivations, Coordinates and automorphisms of polynomial and free associative algebras of rank three., The Strong Anick Conjecture, TAME AUTOMORPHISMS FIXING A VARIABLE OF FREE ASSOCIATIVE ALGEBRAS OF RANK THREE, Triangulable locally nilpotent derivations in dimension three, Polynomial parametrization of nonsingular complete intersection curves, Recognizing and parametrizing curves isomorphic to a line, Automorphic orbit problem for polynomial algebras, The strong Anick conjecture is true., Equivalence of polynomials under automorphisms of \(\mathbb{C}^2\), Test Elements, Retracts and Automorphic Orbits of Free Algebras, Automorphic orbits in free non-associative algebras, The strong Nagata conjecture, Primitive, almost primitive, test, and \(\Delta\)-primitive elements of free algebras with the Nielsen-Schreier property, Automorphisms fixing a variable of \(K\langle x,y,z\rangle\)., Two dimensional coordinate polynomials and dominant maps, Tame and Wild Coordinates of 𝐾[𝑧[𝑥,𝑦]]

Cites Work

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