On the extension of automorphisms of polynomial rings
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Publication:1921831
DOI10.1007/BF02107336zbMath0866.16023OpenAlexW2019606581MaRDI QIDQ1921831
Ualbei Utmakhanbetovich Umirbaev
Publication date: 29 May 1997
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02107336
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)
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Boundary behavior of functions from Sobolev classes defined on domains with exterior peak ⋮ Wild automorphisms of free metabelian algebras. ⋮ The Jacobian Conjecture, Together with Specht and Burnside-Type Problems ⋮ Symmetric polynomials in the free metabelian associative algebra of rank 2 ⋮ Coordinates and automorphisms of polynomial and free associative algebras of rank three. ⋮ The Strong Anick Conjecture ⋮ Defining relations for tame automorphism groups of polynomial rings and wild automorphisms of free associative algebras. ⋮ The strong Anick conjecture is true. ⋮ Automorphisms of finitely generated relatively free bicommutative algebras ⋮ Gröbner bases and the Nagata automorphism ⋮ Constants of Weitzenböck derivations and invariants of unipotent transformations acting on relatively free algebras.
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