{"author_url":"https://blog.hatena.ne.jp/derwind/","author_name":"derwind","provider_name":"Hatena Blog","categories":["math-alg"],"published":"2016-09-26 02:23:59","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","description":"Def (\u539f\u59cb\u591a\u9805\u5f0f) \u7d20\u5143\u5206\u89e3\u6574\u57df $R$ \u306e\u5143\u3092\u4fc2\u6570\u3068\u3059\u308b\u591a\u9805\u5f0f\u306e\u4fc2\u6570\u306e\u6700\u5927\u516c\u7d04\u5143\u304c\u5358\u5143\u3067\u3042\u308b\u6642\u3001\u539f\u59cb\u591a\u9805\u5f0f\u3068\u547c\u3076${}_\\square$ Lemma (Gauss) $R$: \u7d20\u5143\u5206\u89e3\u6574\u57df\u3068\u3059\u308b\u3002 $R[X]$ \u306b\u304a\u3044\u3066\u539f\u59cb\u591a\u9805\u5f0f\u306e\u7a4d\u306f\u539f\u59cb\u591a\u9805\u5f0f\u3067\u3042\u308b${}_\\square$ *1 Lemma $R$: \u7d20\u5143\u5206\u89e3\u6574\u57df\u3068\u3059\u308b\u3002 $F$: $R$ \u306e\u5546\u4f53\u3068\u3059\u308b\u3002 $f=gh,\\ f,g \\in R[X],\\ h \\in F[X]$ \u3067\u3001 $g$ \u304c\u539f\u59cb\u591a\u9805\u5f0f\u3067\u3042\u308c\u3070\u3001 $h \\in R[X]$ \u3067\u3042\u308b${}_\\square$ Prop (1) $P_n(X) = \\prod_{d|n} \\p\u2026","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F09%2F26%2F022359\" title=\"Galois\u7406\u8ad6(56)\u2015\u5186\u5206\u62e1\u5927(2) - \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>","provider_url":"https://hatena.blog","height":"190","url":"https://randommemory.hatenablog.com/entry/2016/09/26/022359","blog_url":"https://randommemory.hatenablog.com/","version":"1.0","image_url":null,"type":"rich","width":"100%","title":"Galois\u7406\u8ad6(56)\u2015\u5186\u5206\u62e1\u5927(2)"}