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

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Automorphisms and endomorphisms (16W20) Jacobian problem (14R15) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Identities other than those of matrices over commutative rings (16R40)

Related Items (10)

Tame and wild automorphisms of differential polynomial algebras of rank 2 ⋮ A wild automorphism of a free Novikov algebra ⋮ Defining relations for automorphism groups of free algebras ⋮ Unnamed Item ⋮ The Jacobian Conjecture, Together with Specht and Burnside-Type Problems ⋮ The local structure of groups of triangular automorphisms of relatively free algebras. ⋮ Groups of triangular automorphisms of a free associative algebra and a polynomial algebra. ⋮ Coordinates and automorphisms of polynomial and free associative algebras of rank three. ⋮ The strong Anick conjecture is true. ⋮ Left-symmetric algebras of derivations of free algebras

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