Orbits in free algebras of rank two

DOI10.1080/00927879808826246zbMath0899.16016OpenAlexW2066621210MaRDI QIDQ4392645

Jie-Tai Yu, Vesselin Drensky

Publication date: 22 September 1998

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

Full work available at URL: https://doi.org/10.1080/00927879808826246

zbMATH Keywords

endomorphismsprimitive elementsautomorphismsfree Lie algebrastest elementsfree metabelian algebras

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Automorphisms and endomorphisms (16W20) Identities, free Lie (super)algebras (17B01) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40)

Related Items

Test elements of direct sums and free products of free Lie algebras ⋮ Endomorphisms which preserve orbits of free metabelian Leibniz algebras ⋮ PRIMITIVE ELEMENTS OF FREE METABELIAN ALGEBRAS OF RANK TWO ⋮ Test Sets and Test Rank of a Free Metabelian Lie Algebra ⋮ Test polynomials for automorphisms of polynomial and free associative algebras ⋮ Primitive, almost primitive, test, and \(\Delta\)-primitive elements of free algebras with the Nielsen-Schreier property ⋮ Orbits and Test Elements in Free Leibniz Algebras of Rank Two

Cites Work

• Unnamed Item
• Recognizing automorphisms of the free groups
• Automorphisms and primitive elements of free lie superalgebras
• Test elements and retracts of free Lie algebras^‡
• Subalgebras of Free Associative Algebras
• Über ganze birationale Transformationen der Ebene.

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