[代數] 幾題代數

看板Math作者 (熱加熱)時間14年前 (2011/06/16 20:37), 編輯推噓4(4推 0噓 1→)
留言5則, 4人參與, 最新討論串5/7 (看更多)
1. Let R be a ring with more than one element such that for each nonzero element a in R, there is a unique b in R such that aba=a. Show that "R has no zero divisors" 2. Given an example of a nonzero homomorphism f:R->S of rings with identity such that f(1_R)≠1_S -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 111.252.206.83
推
06/16 20:52, , 1F
2 direct sum
06/16 20:52, 1F
推
06/16 22:05, , 2F
1. If ab=0,a,b are not zero a=aba=0*a=0 這樣嗎
06/16 22:05, 2F
推
06/16 22:08, , 3F
不對別理上面那句...
06/16 22:08, 3F
→
06/16 22:26, , 4F
if ac=0->a(b+c)a=a->c=0
06/16 22:26, 4F
推
06/16 22:45, , 5F
empty24 is right
06/16 22:45, 5F
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文章代碼(AID): #1D-VZxEG (Math)
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文章代碼(AID): #1D-VZxEG (Math)