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A ring R is called a Boolean ring if a^2=a. Prove that every Boolean ring is commutative. 希望有人可以幫忙 謝謝了!!! -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 140.119.49.167
cnnie3719 :考慮(X+Y)^2=X+Y 03/21 17:25
apple4481 :但是這樣會變成XY=-YX 吧 03/21 20:05
bolyai :char(R)=2. 03/21 20:31
yusd24 :-a=(-a)^2=a^2=a, 2a=0. (x+y)^2=x+y implies xy=yx 03/21 21:06
apple4481 :謝謝!!! 03/22 19:05