Locally nilpotent derivations and automorphisms of free associative algebra with two generators

DOI10.1080/00927872.2020.1729363zbMath1460.16025OpenAlexW3010534629WikidataQ122112596 ScholiaQ122112596MaRDI QIDQ5119305

Sidney Dale Crode, Ivan Pavlovic Shestakov

Publication date: 3 September 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2020.1729363

zbMATH Keywords

automorphismlocally nilpotent derivationfree associative algebra

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Automorphisms and endomorphisms (16W20) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Derivations and commutative rings (13N15) Polynomials over commutative rings (13B25) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Derivations, actions of Lie algebras (16W25)

Related Items (2)

Actions of the additive group \(G_a\) on certain noncommutative deformations of the plane ⋮ A retrospect of the research in nonassociative algebras in IME-USP

Cites Work

• Locally nilpotent derivations of free algebra of rank two
• Linearization of automorphisms and triangulation of derivations of free algebras of rank 2
• Automorphisms of a Free Associative Algebra of Rank 2.I
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