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Subalgebras and automorphisms of polynomial rings.

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Publication:859320
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zbMath1170.14310MaRDI QIDQ859320

Ivan Pavlovic Shestakov, Ualbei Utmakhanbetovich Umirbaev

Publication date: 12 January 2007

Published in: Doklady Mathematics (Search for Journal in Brave)



Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)


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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 ⋮ Lifting of polynomial symplectomorphisms and deformation quantization ⋮ 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. ⋮ Polynomial automorphisms and invariants. ⋮ The Nagata automorphism of free nonassociative algebras of rank two over Euclidean domains ⋮ Automorphisms of finitely generated relatively free bicommutative algebras ⋮ Centralizers in free Poisson algebras ⋮ Symmetric polynomials in the free metabelian Poisson algebras




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