作者wickeday (WickeDay)
看板Math
標題[代數] simple ring
時間Mon Apr 18 20:45:13 2011
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
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◆ From: 220.136.11.145
1F：→ keroro321 :你這敘述不對喔... 04/18 23:35
2F：→ keroro321 :let R be a collection of matrices (2X2). 04/18 23:36
3F：→ keroro321 :R ={a_21=a_12=0 , a_11=n , a_22=m | n,m:integers} 04/18 23:36
4F：→ keroro321 :e =(a_11 = 1 ,a_12=a_21=a_22=0 } 04/18 23:36
5F：→ keroro321 :eRe is not simple....... 04/18 23:36
忘了給假設Orz... R自己要simple
※ 編輯: wickeday 來自: 220.136.15.155 (04/19 16:48)
6F：→ keroro321 :if I is an ideal of eRe , is RIR a ring ? 04/20 17:53