Polynomial and Poisson dependence in free Poisson algebras and free Poisson fields

dc.creatorMakar-Limanov, Leonid
dc.creatorChestakov, Ivan
dc.date.accessioned2013-11-07T12:26:25Z
dc.date.accessioned2018-07-04T16:25:07Z
dc.date.available2013-11-07T12:26:25Z
dc.date.available2018-07-04T16:25:07Z
dc.date.created2013-11-07T12:26:25Z
dc.date.issued2012
dc.identifierJOURNAL OF ALGEBRA, SAN DIEGO, v. 349, n. 1, p. 372-379, JAN, 2012
dc.identifier0021-8693
dc.identifierhttp://www.producao.usp.br/handle/BDPI/43263
dc.identifier10.1016/j.jalgebra.2011.08.008
dc.identifierhttp://dx.doi.org/10.1016/j.jalgebra.2011.08.008
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1635576
dc.description.abstractWe prove that any two Poisson dependent elements in a free Poisson algebra and a free Poisson field of characteristic zero are algebraically dependent, thus answering positively a question from Makar-Limanov and Umirbaev (2007) [8]. We apply this result to give a new proof of the tameness of automorphisms for free Poisson algebras of rank two (see Makar-Limanov and Umirbaev (2011) [9], Makar-Limanov et al. (2009) [10]). (C) 2011 Elsevier Inc. All rights reserved.
dc.languageeng
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.publisherSAN DIEGO
dc.relationJOURNAL OF ALGEBRA
dc.rightsCopyright ACADEMIC PRESS INC ELSEVIER SCIENCE
dc.rightsrestrictedAccess
dc.subjectFREE POISSON ALGEBRAS
dc.titlePolynomial and Poisson dependence in free Poisson algebras and free Poisson fields
dc.typeArtículos de revistas


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