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Article: A Product Formula for Minimal Polynomials and Degree Bounds for Inverses of Polynomial Automorphisms

TitleA Product Formula for Minimal Polynomials and Degree Bounds for Inverses of Polynomial Automorphisms
Authors
Yu, JT
KeywordsMathematics
Issue Date1995
PublisherAmerican Mathematical Society.
Citation
American Mathematical Society Proceedings, 1995, v. 123 n. 2, p. 343-349 How to Cite?
AbstractABSTRACT. By means of Galois theory, we give a product formula for the minimal polynomial G of {fo, fi , ... ,fn) c K[xl , ... ,xn] which contains n algebraically independent elements, where K is a field of characteristic zero. As an application of the product formula, we give a simple proof of Gabber's degree bound inequality for the inverse of a polynomial automorphism.
Persistent Identifierhttp://hdl.handle.net/10722/44912
ISSN
0002-9939
2023 Impact Factor: 0.8
2023 SCImago Journal Rankings: 0.837

 

DC FieldValueLanguage
dc.contributor.authorYu, JTen_HK
dc.date.accessioned2007-10-30T06:13:15Z-
dc.date.available2007-10-30T06:13:15Z-
dc.date.issued1995en_HK
dc.identifier.citationAmerican Mathematical Society Proceedings, 1995, v. 123 n. 2, p. 343-349en_HK
dc.identifier.issn0002-9939en_HK
dc.identifier.urihttp://hdl.handle.net/10722/44912-
dc.description.abstractABSTRACT. By means of Galois theory, we give a product formula for the minimal polynomial G of {fo, fi , ... ,fn) c K[xl , ... ,xn] which contains n algebraically independent elements, where K is a field of characteristic zero. As an application of the product formula, we give a simple proof of Gabber's degree bound inequality for the inverse of a polynomial automorphism.en_HK
dc.format.extent172222 bytes-
dc.format.extent3333 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypetext/plain-
dc.languageengen_HK
dc.publisherAmerican Mathematical Society.en_HK
dc.rightsFirst published in American Mathematical Society Proceedings, 1995, v. 123 n. 2, p. 343-349, published by the American Mathematical Society,en_HK
dc.subjectMathematicsen_HK
dc.titleA Product Formula for Minimal Polynomials and Degree Bounds for Inverses of Polynomial Automorphismsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0002-9939&volume=123&issue=2&spage=343&epage=349&date=1995&atitle=A+Product+Formula+for+Minimal+Polynomials+and+Degree+Bounds+for+Inverses+of+Polynomial+Automorphismsen_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.hkuros36750-
dc.identifier.hkuros20732-
dc.identifier.issnl0002-9939-

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