An inverse function theorem for free associative algebras of rank two

DOI10.1016/0022-4049(92)90102-LzbMath0793.16015OpenAlexW2076584627MaRDI QIDQ1208201

Vladimir Shpilrain

Publication date: 16 May 1993

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(92)90102-l

zbMATH Keywords

automorphismendomorphismJacobian matrixFox derivationsfree associative algebra

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Automorphisms and endomorphisms (16W20)

Related Items

Test elements for endomorphisms of free groups and algebras, On generators of polynomial algebras in two commuting or non-commuting variables

Cites Work

• Applications of a noncommutative Jacobian matrix
• Generators of the group \(F/[N,N\)]
• Free differential calculus. I: Derivation in the free group ring. II: The isomerphism problem of groups. III: Subgroups
• A Commutator Test for Two Elements to Generate the Free Algebra of Rank Two
• A jacobian conjecture for free associative algebras
• On Generators of L/R 2 Lie Algebras
• An Inverse Function Theorem for Free Groups
• Automorphisms of a Free Associative Algebra of Rank 2. II