{"blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","provider_name":"Hatena Blog","provider_url":"https://hatena.blog","image_url":null,"author_url":"https://blog.hatena.ne.jp/derwind/","type":"rich","height":"190","blog_url":"https://randommemory.hatenablog.com/","description":"\u3061\u3087\u3063\u3068\u8107\u306b\u305d\u308c\u3066\u3002\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(33)\u2015\u88ab\u7d04\u74b0\u3068\u5c40\u6240\u74b0 - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\u306e\u88dc\u8db3\u3002$K$: \u4f53\u3068\u3057\u3001\u591a\u9805\u5f0f $F \\in K[X]$ \u3092\u8003\u3048\u308b\u3002 $A = K[X]/(F)$ \u3068\u7f6e\u304f\u3002 Lemma $A$ \u306f\u5358\u9805\u30a4\u30c7\u30a2\u30eb\u74b0\u3067\u3042\u308b\u3002 proof $A$ \u304c\u4f53\u306e\u5834\u5408\u306b\u306f\u81ea\u660e\u306a\u30a4\u30c7\u30a2\u30eb\u306e\u307f\u3067\u3042\u308b\u306e\u3067\u3001\u5358\u9805\u30a4\u30c7\u30a2\u30eb\u74b0\u3067\u3042\u308b\u3002 $A$ \u3092\u4f53\u3067\u306a\u3044\u3068\u3059\u308b\u3002 $I \\subset A$ \u3092proper\u306a\u30a4\u30c7\u30a2\u30eb\u3068\u3059\u308b\u3002 $I$ \u306e0\u3067\u306a\u3044\u5143\u306e\u4ee3\u8868\u5143\u306e\u3046\u3061\u3001monic\u3067\u6700\u4f4e\u6b21\u6570\u306e\u3082\u306e\u3092 $f_0$ \u3068\u3059\u308b(\u3053\u306e $f_0$ \u306b\u4ee3\u8868\u3055\u308c\u308b $I$ \u306e\u5143\u306f $f_0 \\mod F$ \u3068\u306a\u308b)\u2026","width":"100%","title":"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(35)\u2015\u88ab\u7d04\u74b0\u3068\u5c40\u6240\u74b0\u3075\u308a\u304b\u3048\u308a","published":"2016-09-17 15:10:06","categories":["math-alg"],"version":"1.0","url":"https://randommemory.hatenablog.com/entry/2016/09/17/151006","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F09%2F17%2F151006\" title=\"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(35)\u2015\u88ab\u7d04\u74b0\u3068\u5c40\u6240\u74b0\u3075\u308a\u304b\u3048\u308a - \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>","author_name":"derwind"}