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Article: Coordinates and automorphisms of polynomial and free associative algebras of rank three

TitleCoordinates and automorphisms of polynomial and free associative algebras of rank three
Authors
Drensky, VYu, JT
KeywordsAutomorphisms Of Free And Polynomial Algebras
Coordinates
Primitive Elements In Free Algebras
Tame Automorphisms
Wild Automorphisms
Issue Date2007
Citation
Frontiers Of Mathematics In China, 2007, v. 2 n. 1, p. 13-46 How to Cite?
DOI: http://dx.doi.org/10.1007/s11464-007-0002-9
AbstractWe study z-automorphisms of the polynomial algebra K[x, y, z] and the free associative algebra K «x, y, z» over a field K, i.e., automorphisms that fix the variable z. We survey some recent results on such automorphisms and on the corresponding coordinates. For K «x, y, z» we include also results about the structure of the z-tame automorphisms and algorithms that recognize z-tame automorphisms and z-tame coordinates. © Higher Education Press 2007.
Persistent Identifierhttp://hdl.handle.net/10722/156181
ISSN
1673-3452
2023 Impact Factor: 0.8
2020 SCImago Journal Rankings: 0.482
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorDrensky, Ven_US
dc.contributor.authorYu, JTen_US
dc.date.accessioned2012-08-08T08:40:44Z-
dc.date.available2012-08-08T08:40:44Z-
dc.date.issued2007en_US
dc.identifier.citationFrontiers Of Mathematics In China, 2007, v. 2 n. 1, p. 13-46en_US
dc.identifier.issn1673-3452en_US
dc.identifier.urihttp://hdl.handle.net/10722/156181-
dc.description.abstractWe study z-automorphisms of the polynomial algebra K[x, y, z] and the free associative algebra K «x, y, z» over a field K, i.e., automorphisms that fix the variable z. We survey some recent results on such automorphisms and on the corresponding coordinates. For K «x, y, z» we include also results about the structure of the z-tame automorphisms and algorithms that recognize z-tame automorphisms and z-tame coordinates. © Higher Education Press 2007.en_US
dc.languageengen_US
dc.relation.ispartofFrontiers of Mathematics in Chinaen_US
dc.rightsThe original publication is available at www.springerlink.com-
dc.subjectAutomorphisms Of Free And Polynomial Algebrasen_US
dc.subjectCoordinatesen_US
dc.subjectPrimitive Elements In Free Algebrasen_US
dc.subjectTame Automorphismsen_US
dc.subjectWild Automorphismsen_US
dc.titleCoordinates and automorphisms of polynomial and free associative algebras of rank threeen_US
dc.typeArticleen_US
dc.identifier.emailYu, JT:yujt@hku.hken_US
dc.identifier.authorityYu, JT=rp00834en_US
dc.description.naturepostprinten_US
dc.identifier.doi10.1007/s11464-007-0002-9en_US
dc.identifier.scopuseid_2-s2.0-33847398711en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33847398711&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume2en_US
dc.identifier.issue1en_US
dc.identifier.spage13en_US
dc.identifier.epage46en_US
dc.publisher.placeChinaen_US
dc.identifier.scopusauthoridDrensky, V=6603826254en_US
dc.identifier.scopusauthoridYu, JT=7405530208en_US
dc.identifier.issnl1673-3452-

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