{"id":199,"date":"2020-05-05T14:03:47","date_gmt":"2020-05-05T05:03:47","guid":{"rendered":"https:\/\/akasakas.cool\/?p=199"},"modified":"2020-05-05T14:27:23","modified_gmt":"2020-05-05T05:27:23","slug":"%e9%95%b7%e5%b2%a1%e4%ba%ae%e4%bb%8b%e6%95%b0%e5%ad%a6%e5%8b%89%e5%bc%b7%e4%bc%9a%e3%80%8ca-history-of-abstract-algebra-by-i-kleiner%e3%80%8d-%e7%ac%ac10%e5%9b%9e%ef%bc%88p19-20%ef%bc%89","status":"publish","type":"post","link":"https:\/\/akasakas.cool\/?p=199","title":{"rendered":"\u9577\u5ca1\u4eae\u4ecb\u6570\u5b66\u52c9\u5f37\u4f1a\u300cA History of Abstract Algebra by I.Kleiner\u300d \u7b2c10\u56de\uff08p19-20\uff09"},"content":{"rendered":"\n<p>\u30ec\u30dd\u30fc\u30c8\u3000<a href=\"https:\/\/akasakas.cool\/wp-content\/uploads\/2020\/05\/\u7b2c10\u56de2.1.2-Number-Theory20190501\u52c9\u5f37\u4f1a.pdf\">https:\/\/akasakas.cool\/wp-content\/uploads\/2020\/05\/\u7b2c10\u56de2.1.2-Number-Theory20190501\u52c9\u5f37\u4f1a.pdf<\/a><\/p>\n\n\n\n<p>\u97f3\u58f0\u3000<a href=\"https:\/\/anchor.fm\/tecum\/episodes\/10A-History-of-Abstract-Algebra-by-I-Kleiner-p19-20-edjaud\">https:\/\/anchor.fm\/tecum\/episodes\/10A-History-of-Abstract-Algebra-by-I-Kleiner-p19-20-edjaud<\/a><\/p>\n\n\n\n<p>2 History of Group Theory<br>2.1.2 Number Theory\u3000\u6570\u8ad6<\/p>\n\n\n\n<p>\u30ac\u30a6\u30b9\u306eDisquisitiones Arithmeticae\uff08\u6570\u8ad6\u8b1b\u7fa9\uff09\u306f\u3001\u6570\u5b66\u8005\u305f\u3061\u309219\u4e16\u7d00\u306e\u4e38\u3005\uff11\uff10\uff10\u5e74\u3092\u652f\u914d\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u30ac\u30a6\u30b9\u8a18\u53f7\u3092\u77e5\u3063\u3066\u3044\u308b\u3088\u306d\u3001\u3068\u8a00\u308f\u308c\u3066\u3082\u5b66\u7fd2\u3057\u305f\u8a18\u61b6\u304c\u306a\u3044\u3002\u30d7\u30ed\u30b0\u30e9\u30e0\u306eint\u307f\u305f\u3044\u3060\u304c\u3001\u8ca0\u306e\u6570\u306b\u306a\u308b\u3068\u9055\u3063\u3066\u304f\u308b\u3002\u96c6\u5408\u306e\u6982\u5ff5\u304c\u3064\u304b\u3081\u306a\u3051\u308c\u3070\u300118\u4e16\u7d00\u4ee5\u524d\u306e\u6570\u5b66\u304b\u3089\u8131\u76ae\u3067\u304d\u306a\u3044\u3002<br>\u7d20\u6570\uff15\u306e\u56e0\u6570\u5206\u89e3\u306f\u3001(2+i)(2-i)\u3068\u306a\u308b\u306a\u3093\u3066\u3001\u306a\u308b\u307b\u3069\u30fb\u30fb\u30fbi(\u30a2\u30a4)\u306f\u5909\u8eab\uff08\u5909\u5fc3\uff09\u3059\u308b\u3082\u306e\u3060\u3002<\/p>\n\n\n\n<p>\u3044\u3088\u3044\u3088\u7fa4\u306e\u767b\u5834\u3002\uff14\u3064\u306e\u30d1\u30bf\u30fc\u30f3\u3002<br>\u3000m\u3092\u6cd5\u3068\u3059\u308b(mod.m)\u6574\u6570\u52a0\u6cd5\u7fa4<br>\uff15mod.7=5\u3001\uff15\uff3e\uff12mod.7=4\u3001\uff15\uff3e\uff13mod.7=6\u3001\uff15\uff3e\uff14mod.7=2\u3001\uff15\uff3e\uff15mod.7=3\u3001\uff15\uff3e\uff16mod.7=1\u3001\uff15\uff3e\uff17mod.7=5\u3001\u301c\u30fc\uff1e\uff17\u4e57\u3067\u623b\u308b\uff01<\/p>\n\n\n\n<p>\u03a6\u95a2\u6570\u3068\u306f\u3069\u3046\u3044\u3046\u95a2\u6570\u304b\uff1f\u4e92\u3044\u306b\u7d20\u306a\u81ea\u7136\u6570\u306e\u500b\u6570\u306e\u3053\u3068\u300212 \u3068\u4e92\u3044\u306b\u7d20\u306a 12 \u4ee5\u4e0b\u306e\u81ea\u7136\u6570\u306e\u500b\u6570\u306f\uff0c12=2^2\u22c53 \u3088\u308a\uff0c12(1\u22121\/2)(1\u22121\/3)=4 \u500b\u3002\u7d20\u56e0\u6570\u5206\u89e3\u304c\u30ab\u30ae\u3001\u3053\u306e\u516c\u5f0f\u3092\u899a\u3048\u308b\u3060\u3051\u3058\u3083\u30c0\u30e1\u3001\u8a3c\u660e\u3067\u304d\u306a\u304f\u3061\u3083\u30fb\u30fb\u30fb<\/p>\n\n\n\n<p>Z\uff0ap\uff08\u30bc\u30c3\u30c8\u30d4\u30fc\u30b9\u30bf\u30fc\uff09\u306e\u4efb\u610f\u306e\u8981\u7d20\u304c\u4e0e\u3048\u3089\u308c\u305f\u6642\u3001\u8981\u7d20\u306eorder(\u6b21\u6570\/\u4f4d\u6570)\u304cp \u2212 1\u306e\u7d04\u6570\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u305f\u3002\u3053\u3053\u304c\u30ad\u30e2\uff01\u3000\u4f8b\u3048\u3070p\u3092\u7d20\u65707\u3068\u3057\u3066\u6574\u65704\u306e\u5834\u5408\u3092\u8003\u3048\u308b\u30024mod.7=4\u30014^\uff12mod.7=2\u30014^\uff13mod.7=1\u30014^\uff14mod.7=4\u30014^\uff15mod.7=2\u30014^\uff16mod.7=1\u3002\u3060\u304b\u3089 p -1=6\u306e\u7d04\u65703\u3092\u4f4d\u6570\u3068\u3059\u308b\u8981\u7d20\u3082\u5358\u4f4d\u5143\u3068\u306a\u308b\uff01\u3000<\/p>\n\n\n\n<p>\uff11\u306en\u4e57\u6839\u304c\u5de1\u56de\u7fa4\u3092\u306a\u3057\u3066\u3044\u308b\u3068\u3044\u3046\u3053\u3068\u304c\u3001\u8907\u7d20\u6570\u3092\u52c9\u5f37\u3057\u3066\u4e00\u756a\u5b09\u3057\u3044\u8a71\u3067\u3042\u308b\u3002\u30d5\u30a7\u30eb\u30de\u30fc\u306e\u5b9a\u7406\uff1ax2 + y2\u306f\uff14\u3067\u5272\u308b\u3068\u5fc5\u305a\uff11\u4f59\u308b\u3002\u3053\u308c\u306f\u3001\u30ac\u30a6\u30b9\u306e\uff12\u6b21\u5f62\u5f0f\u8ad6\u3068\u8a00\u3063\u3066\u3001\u3068\u3066\u3082\u30a8\u30ec\u30ac\u30f3\u30c8\u306a\u7406\u8ad6\u3067\u3042\u308b\u3002\u8a3c\u660e\u3082\u7c21\u5358\u3067\u3042\u308b\u3068\u3002\uff08\u79c1\u306f\u3084\u3063\u3066\u3044\u306a\u3044\u304c\uff09<\/p>\n\n\n<p><!--?php previous_post_link('%link', '\u524d\u306e\u8a18\u4e8b\u3078', ture); ?--><br>\n<!--?php next_post_link('%link', '\u6b21\u306e\u8a18\u4e8b\u3078', ture); ?--><\/p>","protected":false},"excerpt":{"rendered":"<p>\u30ec\u30dd\u30fc\u30c8\u3000https:\/\/akasakas.cool\/wp-content\/uploads\/2020\/05\/\u7b2c10\u56de2.1.2-Number-Theory20190501\u52c9\u5f37\u4f1a.pdf \u97f3\u58f0\u3000https:\/\/anchor &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/akasakas.cool\/?p=199\" class=\"more-link\"><span class=\"screen-reader-text\">&#8220;\u9577\u5ca1\u4eae\u4ecb\u6570\u5b66\u52c9\u5f37\u4f1a\u300cA History of Abstract Algebra by I.Kleiner\u300d \u7b2c10\u56de\uff08p19-20\uff09&#8221; \u306e<\/span>\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[3],"tags":[],"class_list":["post-199","post","type-post","status-publish","format-standard","hentry","category-a-history-of-abstract-algebra"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/akasakas.cool\/index.php?rest_route=\/wp\/v2\/posts\/199","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/akasakas.cool\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/akasakas.cool\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/akasakas.cool\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/akasakas.cool\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=199"}],"version-history":[{"count":3,"href":"https:\/\/akasakas.cool\/index.php?rest_route=\/wp\/v2\/posts\/199\/revisions"}],"predecessor-version":[{"id":203,"href":"https:\/\/akasakas.cool\/index.php?rest_route=\/wp\/v2\/posts\/199\/revisions\/203"}],"wp:attachment":[{"href":"https:\/\/akasakas.cool\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=199"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/akasakas.cool\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=199"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/akasakas.cool\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=199"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}