推 rich1119 :請問 你說的第一個換句話說就是先證明Zp是field嗎 12/27 23:18
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 111.243.146.242
1.Prove Zp is a division ring (As I prove aboved)
2.Assume there exists [a],[b] 均=/= [0]
But [a][b]=[0]
From 1. there exists [a]^-1 s.t. [a][a]^-1=[1]
so [a]^-1[a][b]=[a]^-1[0]
=> [b]=[0] , →←
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