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- Publisher Website: 10.1016/S0022-4049(97)00134-5
- Scopus: eid_2-s2.0-0032553258
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Article: On generators of polynomial algebras in two commuting or non-commuting variables
Title | On generators of polynomial algebras in two commuting or non-commuting variables |
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Authors | |
Issue Date | 1998 |
Publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/jpaa |
Citation | Journal Of Pure And Applied Algebra, 1998, v. 132 n. 3, p. 309-315 How to Cite? |
Abstract | An element of a free associative algebra A2 = K(x1,x2) is called primitive if it is an automorphic image of x1. We address the problem of detecting primitive elements of A2: we present an algorithm that distinguishes primitive elements, and also give a couple of very handy necessary conditions for primitivity that allow one to rule out many sorts of non-primitive elements of A2 just by inspection. We also give a structural description of the automorphism groups Aut(A2) and Aut(P2) (where P2 = K[x1,x2] is the polynomial algebra in two variables over the same ground field K) which is different from previously known descriptions. © 1998 Elsevier Science B.V. All rights reserved. |
Persistent Identifier | http://hdl.handle.net/10722/156073 |
ISSN | 2023 Impact Factor: 0.7 2023 SCImago Journal Rankings: 0.897 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Shpilrain, V | en_US |
dc.contributor.author | Yu, JT | en_US |
dc.date.accessioned | 2012-08-08T08:40:17Z | - |
dc.date.available | 2012-08-08T08:40:17Z | - |
dc.date.issued | 1998 | en_US |
dc.identifier.citation | Journal Of Pure And Applied Algebra, 1998, v. 132 n. 3, p. 309-315 | en_US |
dc.identifier.issn | 0022-4049 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/156073 | - |
dc.description.abstract | An element of a free associative algebra A2 = K(x1,x2) is called primitive if it is an automorphic image of x1. We address the problem of detecting primitive elements of A2: we present an algorithm that distinguishes primitive elements, and also give a couple of very handy necessary conditions for primitivity that allow one to rule out many sorts of non-primitive elements of A2 just by inspection. We also give a structural description of the automorphism groups Aut(A2) and Aut(P2) (where P2 = K[x1,x2] is the polynomial algebra in two variables over the same ground field K) which is different from previously known descriptions. © 1998 Elsevier Science B.V. All rights reserved. | en_US |
dc.language | eng | en_US |
dc.publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/jpaa | en_US |
dc.relation.ispartof | Journal of Pure and Applied Algebra | en_US |
dc.title | On generators of polynomial algebras in two commuting or non-commuting variables | 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 | 10.1016/S0022-4049(97)00134-5 | - |
dc.identifier.scopus | eid_2-s2.0-0032553258 | en_US |
dc.identifier.hkuros | 46964 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0032553258&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 132 | en_US |
dc.identifier.issue | 3 | en_US |
dc.identifier.spage | 309 | en_US |
dc.identifier.epage | 315 | en_US |
dc.identifier.isi | WOS:000075840500004 | - |
dc.publisher.place | Netherlands | en_US |
dc.identifier.scopusauthorid | Shpilrain, V=6603904879 | en_US |
dc.identifier.scopusauthorid | Yu, JT=7405530208 | en_US |
dc.identifier.issnl | 0022-4049 | - |