{"blog_title":"\u4e80\u5c71\u5c1a\u8f1d\u306e\u65e5\u8a18","height":"190","type":"rich","author_url":"https://blog.hatena.ne.jp/any119some1119/","description":"\u62bd\u8c61\u4ee3\u6570\u5b66\u306b\u304a\u3044\u3066\u3001\u4f53\u306e\u4ee3\u6570\u62e1\u5927 L/K \u306f\u3001L\u304c K[X] \u306e\u591a\u9805\u5f0f\u306e\u65cf\u306e\u5206\u89e3\u4f53(splitting field)\u3067\u3042\u308b\u3068\u304d\u306b\u3001\u6b63\u898f\uff08\u82f1: normal\uff09\u3068\u3044\u3046\u3002\u30d6\u30eb\u30d0\u30ad\u306f\u305d\u306e\u3088\u3046\u306a\u62e1\u5927\u3092\u6e96\u30ac\u30ed\u30ef\u62e1\u5927(quasi-Galois extension) \u3068\u547c\u3093\u3067\u3044\u308b\u3002 L/K \u306e\u6b63\u898f\u6027\u306f\u4ee5\u4e0b\u306e\u6027\u8cea\u306e\u3044\u305a\u308c\u3068\u3082\u540c\u5024\u3067\u3042\u308b\u3002Ka \u3092 K \u306e L \u3092\u542b\u3080\u4ee3\u6570\u7684\u9589\u5305\u3068\u3059\u308b\u3002 K \u4e0a\u6052\u7b49\u5199\u50cf\u3067\u3042\u308b\u3088\u3046\u306a L \u306e Ka \u3078\u306e\u3059\u3079\u3066\u306e\u57cb\u3081\u8fbc\u307f \u306f \u03c3(L) = L \u3092\u6e80\u305f\u3059\u3002\u8a00\u3044\u63db\u3048\u308b\u3068\u3001\u03c3 \u306f L \u306e K-\u540c\u578b\u3067\u3042\u308b\u3002L \u306b\u6839\u3092\u3082\u3064\u3088\u3046\u306a K[X] \u306e\u3059\u3079\u3066\u306e\u65e2\u7d04\u591a\u9805\u5f0f\u306f L \u306b\u6839\u3092\u3059\u3079\u3066\u3082\u3064\u3002\u3059\u306a\u308f\u3061\u3001L\u2026","provider_url":"https://hatena.blog","provider_name":"Hatena Blog","url":"https://any119some1119.hatenablog.com/entry/2018/08/31/161542","categories":[],"title":"\u6b63\u898f\u62e1\u5927","published":"2018-08-31 16:15:42","version":"1.0","blog_url":"https://any119some1119.hatenablog.com/","width":"100%","author_name":"any119some1119","image_url":null,"html":""}