[代數] simple ring

看板Math作者 (WickeDay)時間14年前 (2011/04/18 20:45), 編輯推噓0(0推 0噓 6→)
留言6則, 1人參與, 最新討論串1/1
R is a ring, e is an idempotent, then eRe is a simple ring. 感覺不是很困難的題目 但弄了很久卻弄不出來 請高手指點一下 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 220.136.11.145
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04/18 23:35, , 1F
你這敘述不對喔...
04/18 23:35, 1F
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04/18 23:36, , 2F
let R be a collection of matrices (2X2).
04/18 23:36, 2F
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04/18 23:36, , 3F
R ={a_21=a_12=0 , a_11=n , a_22=m | n,m:integers}
04/18 23:36, 3F
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04/18 23:36, , 4F
e =(a_11 = 1 ,a_12=a_21=a_22=0 }
04/18 23:36, 4F
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04/18 23:36, , 5F
eRe is not simple.......
04/18 23:36, 5F
忘了給假設Orz... R自己要simple ※ 編輯: wickeday 來自: 220.136.15.155 (04/19 16:48)
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04/20 17:53, , 6F
if I is an ideal of eRe , is RIR a ring ?
04/20 17:53, 6F
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文章代碼(AID): #1Dh39SO_ (Math)