[代數] simple ring

[wickeday (WickeDay)]

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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※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 220.136.11.145
→ keroro321   :你這敘述不對喔...
→ keroro321   :let R be a collection of matrices (2X2).
→ keroro321   :R ={a_21=a_12=0 , a_11=n , a_22=m | n,m:integers}
→ keroro321   :e =(a_11 = 1 ,a_12=a_21=a_22=0 }
→ keroro321   :eRe is not simple.......
忘了給假設Orz... R自己要simple
※ 編輯: wickeday        來自: 220.136.15.155       (04/19 16:48)
→ keroro321   :if I is an ideal of eRe , is RIR a ring ?