Degree estimate for commutators.
DOI10.1016/j.jalgebra.2009.07.018zbMath1187.16024arXiv0806.0439OpenAlexW2121300961MaRDI QIDQ1048945
Publication date: 8 January 2010
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0806.0439
polynomial algebrasfree associative algebrasJacobiansJacobian conjecturecommutatorscoordinatesdegree estimateswild automorphismstame automorphisms
Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Ordinary and skew polynomial rings and semigroup rings (16S36) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Automorphisms and endomorphisms (16W20) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)
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Cites Work
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- Test elements, retracts and automorphic orbits.
- Algebraic geometry over groups. I: Algebraic sets and ideal theory
- Propriétés topologiques des polynômes de deux variables complexes et automorphismes algébriques de l'espace \(C^2\)
- Combinatorial methods. Free groups, polynomials, and free algebras
- Algebraic geometry over groups. II: Logical foundations
- The stable equivalence and cancellation problems
- Degree estimate for subalgebras generated by two elements.
- Automorphic orbit problem for polynomial algebras
- The strong Anick conjecture is true.
- Dedekind subrings of \(k[x_1,\dots,x_n\) are rings of polynomials]
- Defining relations of the tame automorphism group of polynomial algebras in three variables
- The Anick automorphism of free associative algebras
- The Preimage of a Coordinate
- A Commutator Test for Two Elements to Generate the Free Algebra of Rank Two
- Systems of linear equations over associative algebras and the occurrence problem for lie algebras
- Poisson brackets and two-generated subalgebras of rings of polynomials
- The tame and the wild automorphisms of polynomial rings in three variables
- SOME RESULTS AND PROBLEMS RELATED TO UNIVERSAL ALGEBRAIC GEOMETRY
- THE EQUATION [x,u + [y,v] = 0 IN FREE LIE ALGEBRAS]
- The strong Nagata conjecture
- Centralizers in Free Associative Algebras
- A Note on Finite Dimensional Subrings of Polynomial Rings
- Automorphisms of a Free Associative Algebra of Rank 2. II
- On Ordered Groups
- On Ordered Division Rings
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