TAME AUTOMORPHISMS FIXING A VARIABLE OF FREE ASSOCIATIVE ALGEBRAS OF RANK THREE

DOI10.1142/S0218196707004116zbMath1168.16011arXivmath/0605044OpenAlexW2006166561MaRDI QIDQ5386950

Jie-Tai Yu, Vesselin Drensky

Publication date: 14 May 2008

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605044

zbMATH Keywords

algorithmstame automorphismsautomorphisms of free algebrastame coordinatesprimitive elements in free algebras

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Automorphisms and endomorphisms (16W20) Computational aspects of associative rings (general theory) (16Z05)

Related Items (1)

Coordinates and automorphisms of polynomial and free associative algebras of rank three.

Cites Work

• Unnamed Item
• Equivalence of polynomials under automorphisms of \(K[x,y\)]
• The amalgamated free product structure of \(\mathrm{GL}_2(k[X_1,\dots ,X_n )\) and the weak Jacobian theorem for two variables]
• On generators of polynomial algebras in two commuting or non-commuting variables
• Embeddings of curves in the plane
• Polynomial automorphisms and Gröbner reductions
• Central polynomials for matrix rings
• Automorphisms fixing a variable of \(K\langle x,y,z\rangle\).
• Poisson brackets and two-generated subalgebras of rings of polynomials
• The tame and the wild automorphisms of polynomial rings in three variables
• Tame and Wild Coordinates of 𝐾[𝑧[𝑥,𝑦]]
• The Strong Anick Conjecture
• The Nagata automorphism is wild
• The strong Nagata conjecture
• Equivalence of polynomials under automorphisms of \(\mathbb{C}^2\)

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