{"url":"https://randommemory.hatenablog.com/entry/2016/08/16/003020","version":"1.0","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F08%2F16%2F003020\" title=\"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(4)\u2015\u6839\u4f53\u3068\u5206\u89e3\u4f53 - \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>","published":"2016-08-16 00:30:20","categories":["math-alg"],"provider_name":"Hatena Blog","provider_url":"https://hatena.blog","author_name":"derwind","type":"rich","description":"stem field... \u624b\u6301\u3061\u306e\u672c\u3067\u8a00\u3046\u3068\u300c\u6839\u4f53\u300d\u304b\uff1f \u5b9a\u7fa9 $P \\in K[X]$ \u3092\u65e2\u7d04\u3068\u3059\u308b\u3002\u3053\u306e\u6642\u3001$K$ \u306e\u62e1\u5927 $E$ \u304c $P$ \u306b\u3064\u3044\u3066\u306e stem field \u3067\u3042\u308b\u3068\u306f\u3001 \\begin{equation} \\exists \\alpha \\in E \\ \\text{s.t.}\\ P(\\alpha) = 0 \\quad\\text{and}\\quad E = K[\\alpha] \\end{equation}\u306e\u6642\u3092\u8a00\u3046\u3002$\\alpha \\in E$ \u3092 $P$ \u306e\u6839\u3068\u3059\u308b\u6642\u3001\u4ee5\u4e0b\u306e\u5bfe\u5fdc\u3067 stem field \u306f\u305f\u30601\u3064\u306b\u5b9a\u307e\u308b\u3002(\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(8)\u2015st\u2026","title":"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(4)\u2015\u6839\u4f53\u3068\u5206\u89e3\u4f53","width":"100%","height":"190","image_url":null,"blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","author_url":"https://blog.hatena.ne.jp/derwind/","blog_url":"https://randommemory.hatenablog.com/"}