在Q_p 上維度為2 和 3 的體擴張
| dc.contributor | 李華介 | zh_TW |
| dc.contributor | Hua-Chieh Li | en_US |
| dc.contributor.author | 陳慧錚 | zh_TW |
| dc.contributor.author | Huei Jeng Chen | en_US |
| dc.date.accessioned | 2019-09-05T01:04:23Z | |
| dc.date.available | 2005-7-8 | |
| dc.date.available | 2019-09-05T01:04:23Z | |
| dc.date.issued | 2005 | |
| dc.description.abstract | 大家都知道對於Q_p來說, 給定一個維度n必只存在有限多個在Q_p上擴張體維度是n的. 對於每個正整數n, 我們觀察係數在Q_p這個體上的多項式而且最高次是n次它的根的行為. 我們在這篇論文中主要是要研究多項式的係數和體擴張之間的關係. | zh_TW |
| dc.description.abstract | It is well-known that for a p-adic field there exists only finite many extensions of a given degree. For a polynomial f with coefficients satisfying some conditions in Qp of given degree and let alpha be any root of f, we want to discuss the connection between coefficients of f and types of extensions Qp(alpha). In this paper we present a method for discussing the relation. | en_US |
| dc.description.sponsorship | 數學系 | zh_TW |
| dc.identifier | G0069240006 | |
| dc.identifier.uri | http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22G0069240006%22.&%22.id.& | |
| dc.identifier.uri | http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101463 | |
| dc.language | 中文 | |
| dc.subject | 維度 | zh_TW |
| dc.subject | 擴張 | zh_TW |
| dc.title | 在Q_p 上維度為2 和 3 的體擴張 | zh_TW |
| dc.title | Extensions of Q_p of degree 2 and 3 | en_US |
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