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Article: On Ritt's factorization of polynomials

TitleOn Ritt's factorization of polynomials
Authors
Beardon, AFNg, TW
Issue Date2000
PublisherOxford University Press.
Citation
Journal Of The London Mathematical Society, 2000, v. 62 n. 1, p. 127-138 How to Cite?
DOI: http://dx.doi.org/10.1112/S0024610700001046
AbstractRitt has shown that any complex polynomial p can be written as the composition of polynomials p1, . . . , pm, where each pj, is prime in the sense that it cannot be written as a non-trivial composition of polynomials. The factors pj are not unique but the number m of them is, as is the set of the degrees of the pj. The paper extends Ritt's theory and, in particular, a third invariant of the decomposition is introduced.
Persistent Identifierhttp://hdl.handle.net/10722/75226
ISSN
0024-6107
2023 Impact Factor: 1.0
2023 SCImago Journal Rankings: 1.383
ISI Accession Number ID
WOS:000089649600011
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorBeardon, AFen_HK
dc.contributor.authorNg, TWen_HK
dc.date.accessioned2010-09-06T07:09:08Z-
dc.date.available2010-09-06T07:09:08Z-
dc.date.issued2000en_HK
dc.identifier.citationJournal Of The London Mathematical Society, 2000, v. 62 n. 1, p. 127-138en_HK
dc.identifier.issn0024-6107en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75226-
dc.description.abstractRitt has shown that any complex polynomial p can be written as the composition of polynomials p1, . . . , pm, where each pj, is prime in the sense that it cannot be written as a non-trivial composition of polynomials. The factors pj are not unique but the number m of them is, as is the set of the degrees of the pj. The paper extends Ritt's theory and, in particular, a third invariant of the decomposition is introduced.en_HK
dc.languageengen_HK
dc.publisherOxford University Press.en_HK
dc.relation.ispartofJournal of the London Mathematical Societyen_HK
dc.rightsJournal of London Mathematical Society. Copyright © Oxford University Press.en_HK
dc.titleOn Ritt's factorization of polynomialsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0024-6107&volume=62&spage=127&epage=138&date=2000&atitle=On+Ritt%27s+factorization+of+polynomialsen_HK
dc.identifier.emailNg, TW:ntw@maths.hku.hken_HK
dc.identifier.authorityNg, TW=rp00768en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1112/S0024610700001046-
dc.identifier.scopuseid_2-s2.0-0039604419en_HK
dc.identifier.hkuros63216en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0039604419&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume62en_HK
dc.identifier.issue1en_HK
dc.identifier.spage127en_HK
dc.identifier.epage138en_HK
dc.identifier.isiWOS:000089649600011-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridBeardon, AF=7003490709en_HK
dc.identifier.scopusauthoridNg, TW=7402229732en_HK
dc.identifier.issnl0024-6107-

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