Degree estimate for subalgebras generated by two elements.

DOI10.4171/JEMS/121zbMath1137.16029OpenAlexW2088665395MaRDI QIDQ2425591

Jie-Tai Yu, Leonid G. Makar-Limanov

Publication date: 6 May 2008

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jems/121

zbMATH Keywords

Jacobianscommutatorstame automorphismdegree estimateslemma on radicalstwo-generator subalgebras

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Ordinary and skew polynomial rings and semigroup rings (16S36) Automorphisms and endomorphisms (16W20) 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) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Computational aspects of associative rings (general theory) (16Z05) Formal power series rings (13F25)

Related Items

Dependence between homogeneous components of polynomials with small degree of Poisson bracket ⋮ The Jacobian Conjecture, Together with Specht and Burnside-Type Problems ⋮ Degree estimate for subalgebras. ⋮ The tame and the wild automorphisms of an affine quadric threefold ⋮ On the augmentation topology of automorphism groups of affine spaces and algebras ⋮ Coordinates and automorphisms of polynomial and free associative algebras of rank three. ⋮ On the lifting of the Nagata automorphism ⋮ Test elements, retracts and automorphic orbits. ⋮ Automorphisms of a polynomial ring which admit reductions of type I ⋮ Degree estimate for commutators.

Cites Work

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