设[tex=0.786x1.0]JTRtgqQ00R3dUQzwS4iwbg==[/tex]是乘法群, [tex=0.786x1.0]as0RCzgUx1oS48cKHRAVVg==[/tex]为环. 定义集合[tex=22.5x3.5]Sx1NIZiaGb78SY8u7RkDQ1F8d5KsraIwBVs6PmfEZYIILlyVr/3mu4jxbUtxheQ+SHM9FNcLRnQPuuqhdEBnxCq6u4L0noImk3OuohV/AX9afTNQ82gC80BpWC6OBjH1VGN0Gg3SrQOYu6rpNBZ6Qw==[/tex]. 规定[tex=2.143x1.357]Y7Kr7g3l5IqtoW+0nJ330Q==[/tex]中两个元[tex=3.143x2.286]gE6TsCtdeFpCtiRjDTQX5WKrrn0IQCf3S9r9TjHXPDo=[/tex]和[tex=3.0x2.286]gE6TsCtdeFpCtiRjDTQX5TIJKT4BTfHJHG1V0n3xeAM=[/tex]相等当且仅当[tex=5.214x1.286]Bj6p7WV5nuJ/ltyiYmuASc5E1GKi5O8fDmAkJEIy6bQ=[/tex]. 在集合[tex=2.143x1.357]Y7Kr7g3l5IqtoW+0nJ330Q==[/tex]上定义[tex=14.571x2.286]gE6TsCtdeFpCtiRjDTQX5SIH1IOhS5cxEqQuTz2UIbGcoCW0WUl5eG+ZCkJg9iGBGE3qR0zIbrVhmYNdinRpVz4p9E0NC6+gKFAZscWN0oBraPhfVhu/kI9G9aicPEbs[/tex],[tex=20.071x3.5]cJj7dG8rEWBnKco81Pk0hhNNIc3oYk7u2UkQWVBh+s76+BC6GBzjsvDSw+g6YTCiuuc1ogy9j5GNl1VtzqKi+zh46MLjJzX0uKNBMfKDj9aisJ6Cw9EkEduiPhFkX85vCa+3k2simhIJUl/7Av2U2RTVc37PQmgx2gJyE516N5Mj1Yjx/GeUknE5R0R+Ror77flsdoPGFkluQQ54SGGArgwsjAhQI6ALPBdymXLvinzxInYtnNX6qx+rGCzB2xbE[/tex].[tex=2.143x1.357]Y7Kr7g3l5IqtoW+0nJ330Q==[/tex]对于上述加法和乘法作成环 (叫做群[tex=0.786x1.0]JTRtgqQ00R3dUQzwS4iwbg==[/tex]在环[tex=0.786x1.0]as0RCzgUx1oS48cKHRAVVg==[/tex]上的群环).

2022-05-31

设[tex=0.786x1.0]JTRtgqQ00R3dUQzwS4iwbg==[/tex]是乘法群, [tex=0.786x1.0]as0RCzgUx1oS48cKHRAVVg==[/tex]为环. 定义集合[tex=22.5x3.5]Sx1NIZiaGb78SY8u7RkDQ1F8d5KsraIwBVs6PmfEZYIILlyVr/3mu4jxbUtxheQ+SHM9FNcLRnQPuuqhdEBnxCq6u4L0noImk3OuohV/AX9afTNQ82gC80BpWC6OBjH1VGN0Gg3SrQOYu6rpNBZ6Qw==[/tex]. 规定[tex=2.143x1.357]Y7Kr7g3l5IqtoW+0nJ330Q==[/tex]中两个元[tex=3.143x2.286]gE6TsCtdeFpCtiRjDTQX5WKrrn0IQCf3S9r9TjHXPDo=[/tex]和[tex=3.0x2.286]gE6TsCtdeFpCtiRjDTQX5TIJKT4BTfHJHG1V0n3xeAM=[/tex]相等当且仅当[tex=5.214x1.286]Bj6p7WV5nuJ/ltyiYmuASc5E1GKi5O8fDmAkJEIy6bQ=[/tex]. 在集合[tex=2.143x1.357]Y7Kr7g3l5IqtoW+0nJ330Q==[/tex]上定义[tex=14.571x2.286]gE6TsCtdeFpCtiRjDTQX5SIH1IOhS5cxEqQuTz2UIbGcoCW0WUl5eG+ZCkJg9iGBGE3qR0zIbrVhmYNdinRpVz4p9E0NC6+gKFAZscWN0oBraPhfVhu/kI9G9aicPEbs[/tex],[tex=20.071x3.5]cJj7dG8rEWBnKco81Pk0hhNNIc3oYk7u2UkQWVBh+s76+BC6GBzjsvDSw+g6YTCiuuc1ogy9j5GNl1VtzqKi+zh46MLjJzX0uKNBMfKDj9aisJ6Cw9EkEduiPhFkX85vCa+3k2simhIJUl/7Av2U2RTVc37PQmgx2gJyE516N5Mj1Yjx/GeUknE5R0R+Ror77flsdoPGFkluQQ54SGGArgwsjAhQI6ALPBdymXLvinzxInYtnNX6qx+rGCzB2xbE[/tex].[tex=2.143x1.357]Y7Kr7g3l5IqtoW+0nJ330Q==[/tex]对于上述加法和乘法作成环 (叫做群[tex=0.786x1.0]JTRtgqQ00R3dUQzwS4iwbg==[/tex]在环[tex=0.786x1.0]as0RCzgUx1oS48cKHRAVVg==[/tex]上的群环).

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