On the extension of automorphisms of polynomial rings

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

zbMATH Keywords

endomorphismsautomorphismspolynomial ringsfree algebrasJacobi matrixfree metabelian algebras

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)

Related Items

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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