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Article: Test elements and retracts of free Lie algebras

TitleTest elements and retracts of free Lie algebras
Authors
Mikhalev, AAYu, JT
Issue Date1997
PublisherTaylor & Francis Inc. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00927872.asp
Citation
Communications In Algebra, 1997, v. 25 n. 10, p. 3283-3289 How to Cite?
DOI: http://dx.doi.org/10.1080/00927879708826054
AbstractAn element u of a finitely generated free Lie algebra L is a test element if any endomorphism of L fixing u is an automorphism. We prove that test elements of L are precisely those elements not contained in any proper retract of L. In addition we characterize retracts of free Lie algebras. Copyright © 1997 by Marcel Dekker, Inc.
Persistent Identifierhttp://hdl.handle.net/10722/75135
ISSN
0092-7872
2023 Impact Factor: 0.6
2023 SCImago Journal Rankings: 0.619
ISI Accession Number ID
WOS:A1997XT65700015
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorMikhalev, AAen_HK
dc.contributor.authorYu, JTen_HK
dc.date.accessioned2010-09-06T07:08:15Z-
dc.date.available2010-09-06T07:08:15Z-
dc.date.issued1997en_HK
dc.identifier.citationCommunications In Algebra, 1997, v. 25 n. 10, p. 3283-3289en_HK
dc.identifier.issn0092-7872en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75135-
dc.description.abstractAn element u of a finitely generated free Lie algebra L is a test element if any endomorphism of L fixing u is an automorphism. We prove that test elements of L are precisely those elements not contained in any proper retract of L. In addition we characterize retracts of free Lie algebras. Copyright © 1997 by Marcel Dekker, Inc.en_HK
dc.languageengen_HK
dc.publisherTaylor & Francis Inc. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00927872.aspen_HK
dc.relation.ispartofCommunications in Algebraen_HK
dc.titleTest elements and retracts of free Lie algebrasen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0092-7872&volume=25&spage=3283&epage=3289&date=1997&atitle=Test+elements+and+retracts+of+free+Lie+algebrasen_HK
dc.identifier.emailYu, JT:yujt@hku.hken_HK
dc.identifier.authorityYu, JT=rp00834en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1080/00927879708826054-
dc.identifier.scopuseid_2-s2.0-21744433820en_HK
dc.identifier.hkuros36702en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-21744433820&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume25en_HK
dc.identifier.issue10en_HK
dc.identifier.spage3283en_HK
dc.identifier.epage3289en_HK
dc.identifier.isiWOS:A1997XT65700015-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridMikhalev, AA=7007020926en_HK
dc.identifier.scopusauthoridYu, JT=7405530208en_HK
dc.identifier.issnl0092-7872-

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