{"image_url":null,"categories":["math-alg"],"url":"https://randommemory.hatenablog.com/entry/2016/09/02/234839","height":"190","author_url":"https://blog.hatena.ne.jp/derwind/","title":"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(24)\u2015Base change theorem","provider_url":"https://hatena.blog","blog_url":"https://randommemory.hatenablog.com/","provider_name":"Hatena Blog","description":"$A$: \u74b0, $B: A$-\u4ee3\u6570, $M: A$-\u52a0\u7fa4\u3068\u3059\u308b\u3002 $B$ \u306f $A$-\u52a0\u7fa4\u3067\u3082\u3042\u308b\u306e\u3067\u3001 $A$-\u52a0\u7fa4\u3068\u3057\u3066\u306e\u30c6\u30f3\u30bd\u30eb\u7a4d $B \\otimes_A M $ \u3092\u8003\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002 \u4e00\u65b9\u3053\u308c\u306b $B$-\u52a0\u7fa4\u3068\u3057\u3066\u306e\u69cb\u9020\u3092\u5c0e\u5165\u3067\u304d\u308b\u3002(the base change of $M $ to $B$ (\u4fc2\u6570\u74b0\u306e\u5909\u63db *1 )) \u3053\u306e\u6642\u3001 $B$-\u52a0\u7fa4\u3068\u3057\u3066\u306e\u69cb\u9020\u3092\u6301\u3063\u305f $B \\otimes_A M $ \u3092\u8a98\u5c0e\u52a0\u7fa4\u3068\u547c\u3076\u3002 $M $ \u306e\u57fa\u5e95\u3092\u62bd\u8c61\u5316\u3057\u3066\u3001\u4fc2\u6570\u3060\u3051 $B$ \u306b\u3057\u3066\u3057\u307e\u3046\u611f\u3058\u3060\u308d\u3046\u3002\u3068\u306f\u8a00\u3048\u3001\u30c6\u30f3\u30bd\u30eb\u7a4d\u3092\u5f62\u6210\u3059\u308b\u305f\u3081\u306b\u3001 $B$ \u306f $A$-\u52a0\u7fa4\u3001\u305d\u3057\u3066\u4fc2\u6570\u74b0\u3092\u7a4d\u3067\u9589\u3058\u3055\u305b\u2026","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F09%2F02%2F234839\" title=\"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(24)\u2015Base change theorem - \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","type":"rich","width":"100%","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","published":"2016-09-02 23:48:39","version":"1.0"}