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Article: On generators of polynomial algebras in two commuting or non-commuting variables

TitleOn generators of polynomial algebras in two commuting or non-commuting variables
Authors
Issue Date1998
PublisherElsevier 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?
AbstractAn 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 Identifierhttp://hdl.handle.net/10722/156073
ISSN
2015 Impact Factor: 0.669
2015 SCImago Journal Rankings: 0.990
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorShpilrain, Ven_US
dc.contributor.authorYu, JTen_US
dc.date.accessioned2012-08-08T08:40:17Z-
dc.date.available2012-08-08T08:40:17Z-
dc.date.issued1998en_US
dc.identifier.citationJournal Of Pure And Applied Algebra, 1998, v. 132 n. 3, p. 309-315en_US
dc.identifier.issn0022-4049en_US
dc.identifier.urihttp://hdl.handle.net/10722/156073-
dc.description.abstractAn 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.languageengen_US
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/jpaaen_US
dc.relation.ispartofJournal of Pure and Applied Algebraen_US
dc.titleOn generators of polynomial algebras in two commuting or non-commuting variablesen_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.doi10.1016/S0022-4049(97)00134-5-
dc.identifier.scopuseid_2-s2.0-0032553258en_US
dc.identifier.hkuros46964-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0032553258&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume132en_US
dc.identifier.issue3en_US
dc.identifier.spage309en_US
dc.identifier.epage315en_US
dc.identifier.isiWOS:000075840500004-
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridShpilrain, V=6603904879en_US
dc.identifier.scopusauthoridYu, JT=7405530208en_US

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