{"title":"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(5)\u2015Gauss\u306e\u88dc\u984c\u3067\u904a\u3076","blog_url":"https://randommemory.hatenablog.com/","url":"https://randommemory.hatenablog.com/entry/2016/08/16/120736","version":"1.0","author_name":"derwind","type":"rich","height":"190","published":"2016-08-16 12:07:36","image_url":null,"provider_name":"Hatena Blog","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","author_url":"https://blog.hatena.ne.jp/derwind/","description":"Gauss\u306e\u88dc\u984c $P \\in \\Z[X]$ \u3092\u3068\u308b\u3002 \u3053\u306e\u6642\u3001$P$ \u306f $\\Z[X]$ \u3067\u65e2\u7d04 $\\Rightarrow$ $P$ \u306f $\\Q[X]$ \u3067\u3082\u65e2\u7d04 \u8a3c\u660e \u5bfe\u5076\u3092\u3068\u3063\u3066\u3001$P$ \u306f $\\Q[X]$ \u3067\u53ef\u7d04 $\\Rightarrow$ $P$ \u306f $\\Z[X]$ \u3067\u53ef\u7d04\u3092\u793a\u3059\u3002 $P = Q R,\\ Q,R \\in \\Q[X]$ \u3068\u3059\u308b\u3002$Q$ \u306e\u4fc2\u6570\u306e\u5206\u6bcd\u306e\u6700\u5c0f\u516c\u500d\u6570\u3092 $m $\u3001$R$ \u306e\u4fc2\u6570\u306e\u5206\u6bcd\u306e\u6700\u5c0f\u516c\u500d\u6570\u3092 $n$ \u3068\u3059\u308b\u3068\u3001$Q_1 := mQ \\in \\Z[X],\\ R_1 := nR \\in \\Z[X]$ \u3068\u306a\u308b\u3002\u3053\u306e\u6642\u3001 $mn P = Q_1 R_1 \\in \u2026","provider_url":"https://hatena.blog","categories":["math-alg"],"html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F08%2F16%2F120736\" title=\"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(5)\u2015Gauss\u306e\u88dc\u984c\u3067\u904a\u3076 - \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>","width":"100%"}