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The Jacobian Conjecture, Together with Specht and Burnside-Type Problems (Q2948948)

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English	The Jacobian Conjecture, Together with Specht and Burnside-Type Problems	scientific article

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scholarly article

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The Jacobian Conjecture, Together with Specht and Burnside-Type Problems (English)

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zbMATH Open document ID

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10.1007/978-3-319-05681-4_15

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Alexei Kanel-Belov

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Leonid A. Bokut'

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Louis Halle Rowen

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Springer Proceedings in Mathematics & Statistics

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publication date

7 October 2015

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full work available at URL

https://arxiv.org/abs/1308.0674

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Mathematics Subject Classification ID

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zbMATH DE Number

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MaRDI profile type

MaRDI publication profile

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The Jacobian conjecture as a problem of perturbative quantum field theory

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Algebras Over Infinite Fields

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A General Theory of Radicals. III. Applications

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The Jacobian conjecture: Reduction of degree and formal expansion of the inverse

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The inversion formula for automorphisms of the Weyl algebras and polynomial algebras

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The inversion formulae for automorphisms of polynomial algebras and rings of differential operators in prime characteristic

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An analogue of the conjecture of Dixmier is true for the algebra of polynomial integro-differential operators.

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Every monomorphism of the Lie algebra of triangular polynomial derivations is an automorphism

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Stably rational non rational varieties

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The local finite basis property and local representability of varieties of associative rings

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AUTOMORPHISMS OF THE ENDOMORPHISM SEMIGROUP OF A FREE ASSOCIATIVE ALGEBRA

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Automorphisms of the Weyl algebra.

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Automorphisms of the endomorphism semigroup of a polynomial algebra.

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On generalized cancellation problem

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Structure of Zariski-closed algebras

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On the lifting of the Nagata automorphism

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Stable tameness of automorphisms of \(F\langle x,y,z\rangle\) fixing \(z\).

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Stable tameness of two-dimensional polynomial automorphisms over a regular ring

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An Inverse Function Theorem for Free Groups

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Relations between the leading terms of a polynomial automorphism

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Automorphisms of a Free Associative Algebra of Rank 2. II

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A jacobian conjecture for free associative algebras

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The Strong Anick Conjecture

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Coordinates and automorphisms of polynomial and free associative algebras of rank three.

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The strong Anick conjecture is true.

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A cancellation conjecture for free associative algebras

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The Jacobian Conjecture: symmetric reduction and solution in the symmetric cubic linear case

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Polynomial automorphisms and the Jacobian conjecture

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Recent progress on the Jacobian Conjecture

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The Jacobian Conjecture for symmetric Drużkowski mappings

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On the image conjecture

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Free differential calculus. I: Derivation in the free group ring. II: The isomerphism problem of groups. III: Subgroups

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Yagzhev polynomial mappings: on the structure of the Taylor expansion of their local inverse

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Families of affine planes: the existence of a cylinder.

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Multidegrees of tame automorphisms of C<sup>n</sup>

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On generating series of finitely presented operads

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The Jacobian conjecture and nilpotent maps

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Shestakov-Umirbaev reductions and Nagata's conjecture on a polynomial automorphism

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Degree estimate for subalgebras.

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A new proof of the Abhyankar–Moh–Suzuki theorem via a new algorithm for the polynomial dependence

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Degree estimate for subalgebras generated by two elements.

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Affine surfaces containing cylinderlike open sets

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Groups of bounded period with subgroups of prime order

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On the Kurosh problem in varieties of algebras

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Freund-Witten adelic formulae for Veneziano and Virasoro-Shapiro amplitudes

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Applications of a noncommutative Jacobian matrix

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Poisson brackets and two-generated subalgebras of rings of polynomials

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The tame and the wild automorphisms of polynomial rings in three variables

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On Generators of L/R 2 Lie Algebras

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On Catalan trees and the Jacobian conjecture

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Affine varieties with equivalent cylinders

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FACTOR ALGEBRAS OF FREE ALGEBRAS: ON A PROBLEM OF G. BERGMAN

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Propriétés topologiques des polynômes de deux variables complexes et automorphismes algébriques de l'espace \(C^2\)

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Endomorphisms of Weyl algebra and \(p\)-curvatures.

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Schreier varieties of algebras

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Defining relations for tame automorphism groups of polynomial rings and wild automorphisms of free associative algebras.

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On the extension of automorphisms of polynomial rings

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The Anick automorphism of free associative algebras

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Defining relations of the tame automorphism group of polynomial algebras in three variables

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Defining relations for automorphism groups of free algebras

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The strong Nagata conjecture

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Evaluation of the Jacobian of a rational transformation of \(\mathbb{C}^2\) and some applications

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Criterion for a chain of \(\sigma\)-processes to be the composition of triangular chains

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On the homology of a ramified covering over \(\mathbb{C}^2\)

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Note on algebras

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Endomorphisms of free algebras

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Nilpotency of Abelian-by-Abelian groups

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A sufficient condition for algebraicity of a group automorphism

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Invertibility of endomorphisms of free associative algebras

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Dedekind subrings of \(k[x_1,\dots,x_n]\) are rings of polynomials

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New proofs for the Abhyankar-Gurjar inversion formula and the equivalence of the Jacobian conjecture and the vanishing conjecture

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Mathieu subspaces of associative algebras

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Algebras satisfying Capelli identities

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On the Baer ideal in algebras satisfying Capelli identities

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