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Article: The preimage of a coordinate

TitleThe preimage of a coordinate
Authors
KeywordsCoordinate
Degree Estimate
Free Associative Algebra
Jung's Theorem
Polynomial Algebra
Tame Automorphism
Issue Date2010
PublisherWorld Scientific Publishing. The Journal's web site is located at http://www.worldscientific.com/worldscinet/ac
Citation
Algebra Colloquium, 2010, v. 17 n. 1, p. 43-46 How to Cite?
AbstractLet K be a field of characteristic zero. Based on the degree estimate of Makar-Limanov and Yu, we prove that the preimage of a coordinate under an injective endomorphism of K〈x, y〉 is also a coordinate. As by-products, we give new proofs of the following results: (1) the preimage of a coordinate under an injective endomorphism of K[x,y] is also a coordinate; (2) any automorphism of K[x,y] or K〈x, y〉 is tame. © 2010 AMSS CAS & Suzhou Univ.
Persistent Identifierhttp://hdl.handle.net/10722/156254
ISSN
2015 Impact Factor: 0.252
2015 SCImago Journal Rankings: 0.527
References

 

DC FieldValueLanguage
dc.contributor.authorGong, SJen_US
dc.contributor.authorYu, JTen_US
dc.date.accessioned2012-08-08T08:41:02Z-
dc.date.available2012-08-08T08:41:02Z-
dc.date.issued2010en_US
dc.identifier.citationAlgebra Colloquium, 2010, v. 17 n. 1, p. 43-46en_US
dc.identifier.issn1005-3867en_US
dc.identifier.urihttp://hdl.handle.net/10722/156254-
dc.description.abstractLet K be a field of characteristic zero. Based on the degree estimate of Makar-Limanov and Yu, we prove that the preimage of a coordinate under an injective endomorphism of K〈x, y〉 is also a coordinate. As by-products, we give new proofs of the following results: (1) the preimage of a coordinate under an injective endomorphism of K[x,y] is also a coordinate; (2) any automorphism of K[x,y] or K〈x, y〉 is tame. © 2010 AMSS CAS & Suzhou Univ.en_US
dc.languageengen_US
dc.publisherWorld Scientific Publishing. The Journal's web site is located at http://www.worldscientific.com/worldscinet/acen_US
dc.relation.ispartofAlgebra Colloquiumen_US
dc.subjectCoordinateen_US
dc.subjectDegree Estimateen_US
dc.subjectFree Associative Algebraen_US
dc.subjectJung's Theoremen_US
dc.subjectPolynomial Algebraen_US
dc.subjectTame Automorphismen_US
dc.titleThe preimage of a coordinateen_US
dc.typeArticleen_US
dc.identifier.emailYu, JT:yujt@hku.hken_US
dc.identifier.authorityYu, JT=rp00834en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1142/S1005386710000064-
dc.identifier.scopuseid_2-s2.0-77951616834en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-77951616834&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume17en_US
dc.identifier.issue1en_US
dc.identifier.spage43en_US
dc.identifier.epage46en_US
dc.publisher.placeHong Kongen_US
dc.identifier.scopusauthoridGong, SJ=24402859500en_US
dc.identifier.scopusauthoridYu, JT=7405530208en_US

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