Test elements, retracts and automorphic orbits

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dc.creatorGong, Sheng-Jun
dc.creatorYu, Jie-Tai
dc.date2008-07-07
dc.date.accessioned2026-07-07T09:49:00Z
dc.date.available2026-07-07T09:49:00Z
dc.descriptionLet $A_2$ be a free associative or polynomial algebra of rank two over a field $K$ of characteristic zero. Based on the degree estimate of Makar-Limanov and J.-T.Yu, we prove: 1) An element $p \in A_2$ is a test element if $p$ does not belong to any proper retract of $A_2$; 2) Every endomorphism preserving the automorphic orbit of a nonconstant element of $A_2$ is an automorphism.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0807.1142
dc.identifierhttp://arxiv.org/abs/0807.1142
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164423
dc.subjectRings and Algebras
dc.subject16S10, 16W20 (Primary) 13B10, 13F20 (Secondary)
dc.titleTest elements, retracts and automorphic orbits
dc.typetext

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