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Article: A Product Formula for Minimal Polynomials and Degree Bounds for Inverses of Polynomial Automorphisms
Title | A Product Formula for Minimal Polynomials and Degree Bounds for Inverses of Polynomial Automorphisms |
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Authors | |
Keywords | Mathematics |
Issue Date | 1995 |
Publisher | American Mathematical Society. |
Citation | American Mathematical Society Proceedings, 1995, v. 123 n. 2, p. 343-349 How to Cite? |
Abstract | ABSTRACT. 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 Identifier | http://hdl.handle.net/10722/44912 |
ISSN | 2023 Impact Factor: 0.8 2023 SCImago Journal Rankings: 0.837 |
DC Field | Value | Language |
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dc.contributor.author | Yu, JT | en_HK |
dc.date.accessioned | 2007-10-30T06:13:15Z | - |
dc.date.available | 2007-10-30T06:13:15Z | - |
dc.date.issued | 1995 | en_HK |
dc.identifier.citation | American Mathematical Society Proceedings, 1995, v. 123 n. 2, p. 343-349 | en_HK |
dc.identifier.issn | 0002-9939 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/44912 | - |
dc.description.abstract | ABSTRACT. 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.extent | 172222 bytes | - |
dc.format.extent | 3333 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.format.mimetype | text/plain | - |
dc.language | eng | en_HK |
dc.publisher | American Mathematical Society. | en_HK |
dc.rights | First published in American Mathematical Society Proceedings, 1995, v. 123 n. 2, p. 343-349, published by the American Mathematical Society, | en_HK |
dc.subject | Mathematics | en_HK |
dc.title | A Product Formula for Minimal Polynomials and Degree Bounds for Inverses of Polynomial Automorphisms | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://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+Automorphisms | en_HK |
dc.description.nature | published_or_final_version | en_HK |
dc.identifier.hkuros | 36750 | - |
dc.identifier.hkuros | 20732 | - |
dc.identifier.issnl | 0002-9939 | - |