下列关系是否正确?[p=align:center][tex=4.714x1.0]YwvnLVQkCI2xaYriKtvTu6mn2RsA6WZfpcrVHEaJibA=[/tex]
举一反三
- 已知[tex=5.0x1.357]m3IZU8rCv0YYRA4o56qq3NxgfDNr71NYeWTA3x7afqk=[/tex]为整数[tex=2.786x1.357]6unKUwy5rVEcywe1qlSpwg==[/tex]，讨论该代数系统是否为环，是否为整环.其中[p=align:center][tex=10.5x1.357]qZyD25HFTJzQq8Xw6TUTvoTsVboBkKr/JtXGBvmBiK1tSrig+8hvu7T9v2yxFC5Q[/tex][p=align:center][tex=10.143x1.357]f7esO9UEnWUwP4HpW1IGovNbeCO0niXd3FsMPc2oTKY=[/tex][p=align:center][tex=8.286x1.357]K76amrYC/83ACLpG681AePfTbPJQOE82+sPFtO9jo8o=[/tex]
- 设[tex=5.5x1.357]jO6lZeZZ3OdVBdz43/a9oQ==[/tex]，[tex=0.857x1.0]9FikB2YJlXD9Uda+jSZ+aQ==[/tex]上有如下两个关系：[p=align:center][tex=7.857x1.357]pd9l8znrdYExN6Olk0rlGnNU6qc4HWiNE29Cv4d3un4=[/tex]或[tex=3.071x1.357]40x9aRMI5okS8j0R1kO/bQ==[/tex][p=align:center][tex=8.357x1.357]KL8XkO3xClX+ZKoVjS47eSwU3UUzbwIBmTUU5XJTM/0=[/tex]求下列复合关系.（1）[tex=2.786x1.214]XzRNdcOzSrvLVZHLjp7LMD71fRT67VBA6Zd1uTtpBa8=[/tex]；（2）[tex=2.786x1.214]h+sgJJ+hO7O6atHnTmbPI3Q7/1cgdmNXsz+WDhMAsds=[/tex]；（3）[tex=4.357x1.214]XzRNdcOzSrvLVZHLjp7LMPh7lTZBxYOZ3aFX2Q3W6CE=[/tex].
- 证明 设[tex=2.929x1.357]f8vXhXZkntbtcn5YtNszyA==[/tex]为循环群. （1）如果[tex=3.143x1.357]+ffGqEoCaO1XtD5rcTB2lg==[/tex],则[tex=0.786x1.0]JTRtgqQ00R3dUQzwS4iwbg==[/tex]的全部子群为[p=align:center][tex=10.0x1.571]ASO79Lx7XorIzXfD+OkCX2aw3jZQI9gX9hIKxPpEoHVfIf8jaMNsVAI3GKreTubJeTAOApOyglKnt7BLTl+WYZ4hCtb/6NuRQOp+iQCSiHw=[/tex].（2）如果[tex=3.0x1.357]o/dVgihcop3NMKmdwvgkeQ==[/tex]则[tex=0.786x1.0]JTRtgqQ00R3dUQzwS4iwbg==[/tex]的全部子群为[p=align:center][tex=3.857x1.571]ho2B7oQoeaJgTzqz5bQYfbOIXX6Nns7PiwvcUM/c6htf+U69GXScKgmyziwSNCkFVSjjsPHGOR5r/3zKWR4nMg==[/tex] 为[tex=0.643x0.786]/he/ol8BkDuTTL9yMPtH4Q==[/tex] 的正因子 .[p=align:center][br][/br][p=align:center]
- 设[p=align:center][tex=27.286x3.643]No14tepOrgpLFcwU7iwUQaq7tFClr8PoT8Gx3elh/kJBZJOkCEiiQ94Q+1K4QVmbLaM1MewfeX4PG2ZhB1x5Dk6WzV+7gfin26eTspWj5rH098hjIq6UZTxppTzNKowO8ZDBfBwD5G1SW1vKlDbAp13VN2v/V2VMvFImYZXAxNHcXcDZgd1KFNxCAsrE+OCv9n3hP9EUHCzRJl+rsAfZHuzApHYoANVooq1yafZemwIhrItU90nvfFGzXPcFOCN739L6jOJPUt4PGwSQyNrh0ad8m8rBDeRBej8yh/4DxU3NoD7Yy+R4ZNRz8ETpEcfFStZBsPuWC23gjwInlZ01jg==[/tex]计算矩阵 [tex=11.214x1.429]GqHp58CnxVN7QBpmqMCy2RbfrmWb5XGYEcdCfJjkQ24DMlGRI63UMgYo1btp1sC3mCK9lk7tzzsRqACrk84suw==[/tex] 与 [tex=1.5x1.0]UHSADI+voMfLNnqcH0gs1w==[/tex] 是否相等 [tex=2.0x1.0]lmziBil/PDdVROkMeDak+A==[/tex] 与 [tex=2.071x1.143]tQiH1vEWA8l9UqmgzAse2YtLpoNF5UOBytG5T3cLk3k=[/tex] 是否相等?[p=align:center][br][/br]
- 下列关系能否构成函数？[p=align:center][tex=13.786x1.357]Lbznz5y07GiNrSEVAcoyikZ633D937oifeLrHsTgJXTPwGqwng8Ulr99OchOXq2vPC6cqHZHMbX/W9wDtZJjLKtCUErTPrvkPkt2tk/ud2M+XUHLsz/IvjsPlMrsKvPc[/tex].