作者znmkhxrw (QQ)
看板Math
标题Re: [代数] integral domain
时间Mon Dec 27 19:19:37 2010
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] , →←
--
※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 111.243.146.242
1F:推 rich1119 :请问 你说的第一个换句话说就是先证明Zp是field吗 12/27 23:18