The Dedekind-mertens number and the Polarized Dedekind-mertens number
碩士 === 國立臺灣師範大學 === 數學研究所 === 89 === We study content ideals of polynomials and their behavior under multiplication. In [HH2] and [CHH], they give a sharpening of the Dedekind-Mertens Lemma relating the contents of two polynomials to the content of their product. Therefore, we study the...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2001
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| Online Access: | http://ndltd.ncl.edu.tw/handle/02454616752985936980 |
| Summary: | 碩士 === 國立臺灣師範大學 === 數學研究所 === 89 === We study content ideals of polynomials and their behavior under multiplication. In [HH2] and [CHH], they give a sharpening of the Dedekind-Mertens Lemma relating the contents of two polynomials to the content of their product. Therefore, we study the Dedekind-Mertens number, the Polarized Dedekind-Mertens number and give some examples about them.
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