{"published":"2016-09-10 16:58:25","categories":["math-alg"],"author_name":"derwind","type":"rich","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F09%2F10%2F165825\" title=\"\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\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","url":"https://randommemory.hatenablog.com/entry/2016/09/10/165825","blog_url":"https://randommemory.hatenablog.com/","image_url":null,"provider_url":"https://hatena.blog","description":"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(26)\u2015\u6709\u9650K-\u4ee3\u6570\u306e\u69cb\u9020\u5b9a\u7406 - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\u306e\u7d9a\u304d\u3002\u591a\u9805\u5f0f $F \\in K[X]$ \u3092\u65e2\u7d04\u56e0\u5b50\u306b\u5206\u89e3\u3057\u3001 $F(X) = P_1(X)^{k_1} \\cdot\\cdots\\cdot P_r(X)^{k_r}$ \u3068\u66f8\u304f\u3068\u3059\u308b\u3002 $A = K[X]/(F)$ \u3068\u7f6e\u304f\u3002\u4e2d\u56fd\u306e\u5270\u4f59\u5b9a\u7406\u306b\u3088\u308a\u3001 \\begin{equation} A = K[X]/(F) \\simeq K[X]/(P_1)^{k_1} \\times \\cdots \\times K[X]/(P_r)^{k_r} \\end{equation}\u3067\u3042\u308b\u3002 \u3068\u3053\u308d\u3067 $m_j := (P_j \\mod F\u2026","version":"1.0","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","author_url":"https://blog.hatena.ne.jp/derwind/","provider_name":"Hatena Blog","title":"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(33)\u2015\u88ab\u7d04\u74b0\u3068\u5c40\u6240\u74b0","width":"100%","height":"190"}