[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/jp\/wiki6\/archives\/6583#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/jp\/wiki6\/archives\/6583","headline":"\u30a8\u30d4\u5c04 – Wikipedia","name":"\u30a8\u30d4\u5c04 – Wikipedia","description":"\u570f\u8ad6\u306b\u304a\u3044\u3066\u3001\u30a8\u30d4\u5c04\uff08epimorphism\uff09\u3042\u308b\u3044\u306f\u30a8\u30d4\u30c3\u30af\u5c04 (epic morphism) \u3068\u306f\u3001\u53f3\u7c21\u7d04\u53ef\u80fd\uff08right cancelable\uff09\u306a\u5c04\u306e\u3053\u3068\u3092\u8a00\u3046\u3002X \u304b\u3089 Y \u3078\u306e\u30a8\u30d4\u5c04\u306f X\u00a0\u21a0 Y \u3068\u8868\u8a18\u3055\u308c\u308b\u3002 \u3053\u308c\u306f\u96c6\u5408\u9593\u306e\u5199\u50cf\u306e\u610f\u5473\u3067\u306e\u5168\u5c04\u306e\u62bd\u8c61\u5316\u3067\u3042\u308a\u3001\u5c04\u304c\u5199\u50cf\u3067\u3042\u308a\u96c6\u5408\u8ad6\u7684\u5168\u5c04\u3067\u3042\u308c\u3070\u570f\u8ad6\u7684\u5168\u5c04\u3067\u3042\u308b\u304c\u3001\u9006\u306f\u5fc5\u305a\u3057\u3082\u6210\u308a\u7acb\u305f\u306a\u3044\u3002\u4f8b\u3048\u3070\u53ef\u63db\u74b0\u306e\u570f\u306b\u304a\u3051\u308b\u6574\u6570\u74b0\u304b\u3089\u6709\u7406\u6570\u4f53\u3078\u306e\u5305\u542b\u5199\u50cf Z \u2192 Q \u304c\u53cd\u4f8b\u3068\u306a\u308b\u3002\u3057\u304b\u3057\u306a\u304c\u3089\u3001\u96c6\u5408\u306e\u570f\u3084\u7fa4\u306e\u570f\u3001\u74b0\u4e0a\u306e\u52a0\u7fa4\u306e\u570f\u306a\u3069\u3067\u306f\u3001\u570f\u8ad6\u306e\u610f\u5473\u3067\u306e\u5168\u5c04\u306f\u96c6\u5408\u8ad6\u306e\u610f\u5473\u3067\u306e\u5168\u5c04\u3068\u4e00\u81f4\u3059\u308b\u3002 \u570f\u8ad6\u306b\u304a\u3044\u3066\u5c04 f: X \u2192","datePublished":"2019-11-02","dateModified":"2019-11-02","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/jp\/wiki6\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/jp\/wiki6\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/cd810e53c1408c38cc766bc14e7ce26a?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/cd810e53c1408c38cc766bc14e7ce26a?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/11\/book.png","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/11\/book.png","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/62ac713b660ea792af4ea6cc72f2296c59c4da93","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/62ac713b660ea792af4ea6cc72f2296c59c4da93","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/jp\/wiki6\/archives\/6583","about":["Wikipedia"],"wordCount":746,"articleBody":"\u570f\u8ad6\u306b\u304a\u3044\u3066\u3001\u30a8\u30d4\u5c04\uff08epimorphism\uff09\u3042\u308b\u3044\u306f\u30a8\u30d4\u30c3\u30af\u5c04 (epic morphism) \u3068\u306f\u3001\u53f3\u7c21\u7d04\u53ef\u80fd\uff08right cancelable\uff09\u306a\u5c04\u306e\u3053\u3068\u3092\u8a00\u3046\u3002X \u304b\u3089 Y \u3078\u306e\u30a8\u30d4\u5c04\u306f X\u00a0\u21a0 Y \u3068\u8868\u8a18\u3055\u308c\u308b\u3002  \u3053\u308c\u306f\u96c6\u5408\u9593\u306e\u5199\u50cf\u306e\u610f\u5473\u3067\u306e\u5168\u5c04\u306e\u62bd\u8c61\u5316\u3067\u3042\u308a\u3001\u5c04\u304c\u5199\u50cf\u3067\u3042\u308a\u96c6\u5408\u8ad6\u7684\u5168\u5c04\u3067\u3042\u308c\u3070\u570f\u8ad6\u7684\u5168\u5c04\u3067\u3042\u308b\u304c\u3001\u9006\u306f\u5fc5\u305a\u3057\u3082\u6210\u308a\u7acb\u305f\u306a\u3044\u3002\u4f8b\u3048\u3070\u53ef\u63db\u74b0\u306e\u570f\u306b\u304a\u3051\u308b\u6574\u6570\u74b0\u304b\u3089\u6709\u7406\u6570\u4f53\u3078\u306e\u5305\u542b\u5199\u50cf Z \u2192 Q \u304c\u53cd\u4f8b\u3068\u306a\u308b\u3002\u3057\u304b\u3057\u306a\u304c\u3089\u3001\u96c6\u5408\u306e\u570f\u3084\u7fa4\u306e\u570f\u3001\u74b0\u4e0a\u306e\u52a0\u7fa4\u306e\u570f\u306a\u3069\u3067\u306f\u3001\u570f\u8ad6\u306e\u610f\u5473\u3067\u306e\u5168\u5c04\u306f\u96c6\u5408\u8ad6\u306e\u610f\u5473\u3067\u306e\u5168\u5c04\u3068\u4e00\u81f4\u3059\u308b\u3002\u570f\u8ad6\u306b\u304a\u3044\u3066\u5c04 f: X \u2192 Y \u304c\u30a8\u30d4\u3067\u3042\u308b\u3068\u306f\u3001\u3059\u3079\u3066\u306e\u5bfe\u8c61 Z \u3068\u305d\u306e\u4efb\u610f\u306e\u5c04 g1, g2: Y \u2192 Z \u306b\u5bfe\u3057\u3066\u3001  g1\u2218f=g2\u2218f{displaystyle g_{1}circ f=g_{2}circ f} \u306a\u3089\u3070 g1=g2{displaystyle g_{1}=g_{2}}\u304c\u6210\u308a\u7acb\u3064\u3068\u3044\u3046\u3053\u3068\u3067\u3042\u308b\u3002\u3053\u306e\u6027\u8cea\u3092\u53f3\u7c21\u7d04\u53ef\u80fd\uff08right cancelable\uff09\u6027\u3068\u547c\u3076\u3002\u3059\u306a\u308f\u3061\u3001\u30a8\u30d4\u5c04\u3068\u306f\u53f3\u7c21\u7d04\u53ef\u80fd\u6027\u3092\u6301\u3064\u5c04\u306e\u3053\u3068\u3092\u8a00\u3046\u3002Table of Contents\u570f\u8ad6\u7684\u534a\u9806\u5e8f[\u7de8\u96c6]\u95a2\u9023\u9805\u76ee[\u7de8\u96c6]\u53c2\u8003\u6587\u732e[\u7de8\u96c6]\u5916\u90e8\u30ea\u30f3\u30af[\u7de8\u96c6]\u570f\u8ad6\u7684\u534a\u9806\u5e8f[\u7de8\u96c6]\u30a8\u30d4\u5c04\u306e\u53f3\u7c21\u7d04\u53ef\u80fd\u6027\uff08right cancelable\uff09\u3092\u7528\u3044\u3066\u570f\u4e0a\u3067\u534a\u9806\u5e8f\u3092\u5b9a\u7fa9\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002  \u03b21\u00a0: B \u2192 B1, \u03b22\u00a0: B \u2192 B2 \u3092\u305d\u308c\u305e\u308c\u30a8\u30d4\u5c04\u3068\u3059\u308b\u3002\u30a8\u30d4\u5c04\u9593\u306e\u534a\u9806\u5e8f\u95a2\u4fc2 \u03b22 \u227c \u03b21 \u304c\u6210\u308a\u7acb\u3064\u3068\u306f\u3001\u30a8\u30d4\u5c04 \u03b3\u00a0: B2 \u2192 B1 \u304c\u5b58\u5728\u3057\u3001 \u03b3\u30fb\u03b22 = \u03b21 \u3092\u6e80\u305f\u3059\u3053\u3068\u3092\u8a00\u3046\u3002\u534a\u9806\u5e8f\u95a2\u4fc2\u3068\u306f\u3001\u53cd\u5c04\u7684\uff08reflexive\uff09\u304b\u3064\u63a8\u79fb\u7684\uff08transitive\uff09\u304b\u3064\u53cd\u5bfe\u79f0\u7684\uff08anti-symmetric\uff09\u306a\u95a2\u4fc2\u3092\u8a00\u3046\u304c\u3001\u30a8\u30d4\u5c04\u9593\u306e\u95a2\u4fc2 \u227c \u306f\u5b9f\u969b\u305d\u308c\u3089\u3092\u6e80\u305f\u3059\uff08\u53cd\u5c04\u5f8b\uff09\u03b21\u00a0: B \u2192 B1 \u304c\u30a8\u30d4\u5c04\u3067\u3042\u308c\u3070\u3001\u03b21 \u227c \u03b21 \u3067\u3042\u308b\u3002\uff08\u63a8\u79fb\u5f8b\uff09\u03b21\u00a0: B \u2192 B1\u3001 \u03b22\u00a0: B \u2192 2\u3001 \u03b23\u00a0: B \u2192 3 \u3092\u30a8\u30d4\u5c04\u3068\u3057\u3001\u03b22 \u227c \u03b21 \u304b\u3064 \u03b23 \u227c \u03b22 \u3067\u3042\u308b\u306a\u3089\u3070\u3001\u03b23 \u227c \u03b21 \u3067\u3042\u308b\u3002\uff08\u53cd\u5bfe\u79f0\u5f8b\uff09\u03b21\u00a0: B \u2192 B1\u3001 \u03b22\u00a0: B \u2192 B2 \u3092\u30a8\u30d4\u5c04\u3068\u3057\u3001\u03b22 \u227c \u03b21 \u304b\u3064 \u03b21 \u227c \u03b22 \u3067\u3042\u308b\u306a\u3089\u3070\u3001\u03b21 \u2245 \u03b22 \u3067\u3042\u308b\u3002\u30a8\u30d4\u5c04\u3068\u30e2\u30ce\u5c04\u306e\u7528\u8a9e\u306f\u6700\u521d\u30cb\u30b3\u30e9\u30fb\u30d6\u30eb\u30d0\u30ad\u306b\u3088\u3063\u3066\u5c0e\u5165\u3055\u308c\u305f\u3002\u30d6\u30eb\u30d0\u30ad\u306f\u30a8\u30d4\u5c04\u3092\u5168\u5c04\u95a2\u6570\uff08surjective function\uff09\u306e\u7701\u7565\u5f62\u3068\u3057\u3066\u4f7f\u7528\u3057\u305f\u3002\u521d\u671f\u306e\u570f\u8ad6\u5bb6\u306f\u3001\u30e2\u30ce\u5c04\u304c\u5165\u5c04\u306e\u6b63\u78ba\u306a\u985e\u63a8\u306b\u975e\u5e38\u306b\u8fd1\u3044\u306e\u3068\u540c\u3058\u3088\u3046\u306b\u3001\u4efb\u610f\u306e\u570f\u306b\u304a\u3044\u3066\u30a8\u30d4\u5c04\u306f\u5168\u5c04\u306e\u6b63\u3057\u3044\u985e\u63a8\u3067\u3042\u308b\u3068\u4fe1\u3058\u305f\u3002\u4e0d\u5e78\u306a\u3053\u3068\u306b\u3053\u308c\u306f\u9593\u9055\u3044\u3067\u3042\u3063\u305f\u3002\u5f37\uff08strong\uff09\u307e\u305f\u306f\u6b63\u898f\uff08regular\uff09\u306a\u30a8\u30d4\u5c04\u306f\u666e\u901a\u306e\u30a8\u30d4\u5c04\u3088\u308a\u3082\u3088\u308a\u5168\u5c04\u306b\u8fd1\u63a5\u3057\u305f\u632f\u308b\u821e\u3044\u3092\u793a\u3059\u3002\u30bd\u30fc\u30f3\u30c0\u30fc\u30b9\u30fb\u30de\u30c3\u30af\u30ec\u30fc\u30f3\u306f\u30a8\u30d4\u5c04\u306e\u9593\u306b\u533a\u5225\u3092\u8a2d\u3051\u3088\u3046\u3068\u3057\u305f\u3002\u5f7c\u306f\u30a8\u30d4\u5c04\u306f\u5168\u5c04\u3067\u3042\u308b\u96c6\u5408\u5199\u50cf\u3092\u57fa\u790e\u306b\u6301\u3064\u5177\u4f53\u570f\u306b\u304a\u3051\u308b\u5c04\u3067\u3042\u308a\u3001\u305d\u3057\u3066\u30a8\u30d4\u30c3\u30af\u5c04\uff08epic morphism\uff09\u3068\u306f\u73fe\u4ee3\u7684\u306a\u610f\u5473\u306b\u304a\u3051\u308b\u30a8\u30d4\u5c04\u3067\u3042\u308b\u3068\u3057\u3088\u3046\u3068\u3057\u305f\u304c\u3001\u3053\u306e\u533a\u5225\u304c\u666e\u53ca\u3059\u308b\u3053\u3068\u306f\u306a\u304b\u3063\u305f\u3002\u30a8\u30d4\u5c04\u304c\u5168\u5c04\u3068\u540c\u4e00\u3067\u3042\u308b\u307e\u305f\u306f\u3088\u308a\u826f\u3044\u6982\u5ff5\u3067\u3042\u308b\u3068\u4fe1\u3058\u308b\u3053\u3068\u306f\u3088\u304f\u3042\u308b\u9593\u9055\u3044\u3067\u3042\u308b\u3002\u4e0d\u5e78\u306a\u3053\u3068\u306b\u3053\u308c\u306f\u7a00\u306a\u30b1\u30fc\u30b9\u3067\u3042\u308b\u304c\u3001\u30a8\u30d4\u5c04\u306f\u975e\u5e38\u306b\u4e0d\u601d\u8b70\u3067\u4e88\u671f\u3057\u306a\u3044\u632f\u308b\u821e\u3044\u3092\u3059\u308b\u3053\u3068\u304c\u3042\u308a\u3001\u4f8b\u3048\u3070\u3001\u74b0\u306e\u30a8\u30d4\u5c04\u3092\u3059\u3079\u3066\u5206\u985e\u3059\u308b\u3053\u3068\u306f\u975e\u5e38\u306b\u96e3\u3057\u3044\u3002\u4e00\u822c\u306b\u30a8\u30d4\u5c04\u306f\u3001\u5168\u5c04\u3068\u306f\u95a2\u9023\u3057\u3066\u3044\u308b\u3082\u306e\u306e\u6839\u672c\u7684\u306b\u7570\u306a\u308b\u3001\u305d\u308c\u81ea\u8eab\u7279\u6709\u306e\u6982\u5ff5\u3067\u3042\u308b\u3002\u95a2\u9023\u9805\u76ee[\u7de8\u96c6]\u53c2\u8003\u6587\u732e[\u7de8\u96c6]\u5916\u90e8\u30ea\u30f3\u30af[\u7de8\u96c6]"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/jp\/wiki6\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/jp\/wiki6\/archives\/6583#breadcrumbitem","name":"\u30a8\u30d4\u5c04 – Wikipedia"}}]}]