{"type":"rich","image_url":null,"blog_url":"https://randommemory.hatenablog.com/","author_name":"derwind","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F09%2F03%2F025020\" title=\"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(25)\u2015Base change\u5f8c\u306e\u69cb\u9020 - \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>","published":"2016-09-03 02:50:20","provider_name":"Hatena Blog","height":"190","width":"100%","version":"1.0","description":"$A$ \u3092\u74b0\u3068\u3057\u3066\u3001 $I \\subset A$ \u3092\u30a4\u30c7\u30a2\u30eb\u3068\u3059\u308b\u6642\u3001 $B = A/I$ \u3068\u3044\u3046 $A$-\u4ee3\u6570\u3092\u8003\u3048\u3089\u308c\u308b\u3051\u3069\u3001 $M $ \u306e\u4fc2\u6570\u74b0\u3092 $A$ \u304b\u3089 $B = A/I$ \u306bbase change\u3057\u305f\u6642\u306b\u3069\u3046\u3044\u3046\u69cb\u9020\u306b\u306a\u308b\u3093\u3067\u3057\u3087\u3046\u304b\u306d\uff1f\u3068\u3044\u3046\u306e\u304c\u4ee5\u4e0b\u306e\u547d\u984c\u3002 \u4fc2\u6570\u3092 $I$ \u3067\u5272\u308b\u3053\u3068\u306f\u3001\u81ea\u5206 $M $ \u3092 $I$ \u3067\u5272\u308b\u3088\u3046\u306a\u3082\u306e\u3060\u3001\u3068\u8a00\u3048\u308b\u304b\u3002 Prop $M: A$-\u52a0\u7fa4\u3002 $I \\subset A$ \u3092\u30a4\u30c7\u30a2\u30eb\u3068\u3059\u308b\u3002\u3053\u306e\u6642\u3001\u4ee5\u4e0b\u304c\u6210\u7acb\u3059\u308b\u3002 $A/I \\otimes_A M \\simeq M/IM$ proof \\begin{array}{ccc} \\alpha: \u2026","author_url":"https://blog.hatena.ne.jp/derwind/","title":"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(25)\u2015Base change\u5f8c\u306e\u69cb\u9020","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","url":"https://randommemory.hatenablog.com/entry/2016/09/03/025020","provider_url":"https://hatena.blog","categories":["math-alg"]}