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- Publisher Website: 10.1142/S1005386710000064
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Article: The preimage of a coordinate
| Title | The preimage of a coordinate |
|---|---|
| Authors | |
| Keywords | Coordinate Degree Estimate Free Associative Algebra Jung's Theorem Polynomial Algebra Tame Automorphism |
| Issue Date | 2010 |
| Publisher | World 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? |
| Abstract | Let 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 Identifier | http://hdl.handle.net/10722/156254 |
| ISSN | 2021 Impact Factor: 0.333 2020 SCImago Journal Rankings: 0.352 |
| ISI Accession Number ID | |
| References |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Gong, SJ | en_US |
| dc.contributor.author | Yu, JT | en_US |
| dc.date.accessioned | 2012-08-08T08:41:02Z | - |
| dc.date.available | 2012-08-08T08:41:02Z | - |
| dc.date.issued | 2010 | en_US |
| dc.identifier.citation | Algebra Colloquium, 2010, v. 17 n. 1, p. 43-46 | en_US |
| dc.identifier.issn | 1005-3867 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10722/156254 | - |
| dc.description.abstract | Let 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.language | eng | en_US |
| dc.publisher | World Scientific Publishing. The Journal's web site is located at http://www.worldscientific.com/worldscinet/ac | en_US |
| dc.relation.ispartof | Algebra Colloquium | en_US |
| dc.subject | Coordinate | en_US |
| dc.subject | Degree Estimate | en_US |
| dc.subject | Free Associative Algebra | en_US |
| dc.subject | Jung's Theorem | en_US |
| dc.subject | Polynomial Algebra | en_US |
| dc.subject | Tame Automorphism | en_US |
| dc.title | The preimage of a coordinate | en_US |
| dc.type | Article | en_US |
| dc.identifier.email | Yu, JT:yujt@hku.hk | en_US |
| dc.identifier.authority | Yu, JT=rp00834 | en_US |
| dc.description.nature | link_to_subscribed_fulltext | en_US |
| dc.identifier.doi | 10.1142/S1005386710000064 | - |
| dc.identifier.scopus | eid_2-s2.0-77951616834 | en_US |
| dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-77951616834&selection=ref&src=s&origin=recordpage | en_US |
| dc.identifier.volume | 17 | en_US |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.spage | 43 | en_US |
| dc.identifier.epage | 46 | en_US |
| dc.identifier.isi | WOS:000273494900005 | - |
| dc.publisher.place | Hong Kong | en_US |
| dc.identifier.scopusauthorid | Gong, SJ=24402859500 | en_US |
| dc.identifier.scopusauthorid | Yu, JT=7405530208 | en_US |
| dc.identifier.issnl | 0219-1733 | - |