{"provider_name":"Hatena Blog","url":"https://randommemory.hatenablog.com/entry/2016/09/18/151203","provider_url":"https://hatena.blog","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F09%2F18%2F151203\" title=\"Galois\u7406\u8ad6(40)\u2015\u6b63\u898f\u62e1\u5927 - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","height":"190","categories":["math-alg"],"width":"100%","version":"1.0","type":"rich","image_url":null,"author_name":"derwind","description":"Def $L/K$ \u304c\u6b63\u898f\u62e1\u5927\u3067\u3042\u308b\u3068\u306f\u3001 $L$ \u304c $K[X]$ \u306e\u3042\u308b\u591a\u9805\u5f0f\u306e\u65cf\u306e(\u6700\u5c0f)\u5206\u89e3\u4f53\u306b\u306a\u3063\u3066\u3044\u308b\u6642\u3092\u8a00\u3046\u3002 Remark $P \\in K[X]$ \u306e\u5206\u89e3\u4f53\u306f\u6b63\u898f\u62e1\u5927\u3067\u3042\u308b\u3002\u4e0a\u8a18\u306e\u5b9a\u7fa9\u306f\u5e7e\u3064\u304b\u306e\u672c\u3067\u898b\u3089\u308c\u308b\u304c\u3001\u4ee5\u4e0b\u306e\u5b9a\u7406\u306e(1)\u304c\u6700\u3082\u5171\u901a\u306b\u898b\u3089\u308c\u308b\u5b9a\u7fa9\u306e\u3088\u3046\u306b\u601d\u3046\u3002 Theorem $L/K$: \u4ee3\u6570\u62e1\u5927\u306b\u5bfe\u3057\u3066\u4ee5\u4e0b\u306f\u540c\u5024: (1) $\\forall\\,\\alpha \\in L$ \u306b\u5bfe\u3057\u3066 $P_\\min(\\alpha,K)$ \u306f $L$ \u3067\u5206\u89e3\u3059\u308b\u3002($L$ \u306b\u6839\u3092\u6301\u3064\u65e2\u7d04\u591a\u9805\u5f0f $\\in K[X]$ \u306f $L$ \u3067\u5206\u89e3\u3059\u308b\u3002)*1 (2) $L$ \u306f\u6b63\u898f\u62e1\u5927\u3067\u3042\u308b\u3002 (3\u2026","title":"Galois\u7406\u8ad6(40)\u2015\u6b63\u898f\u62e1\u5927","blog_url":"https://randommemory.hatenablog.com/","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","author_url":"https://blog.hatena.ne.jp/derwind/","published":"2016-09-18 15:12:03"}