Thread: Lemma of Semiprime Ring

Can someone help me to finish my essay pleasee..

this is the lemma:
Let R be a semiprime ring. if axb=0 for all x \in R, then bxa=0.

its from:
M.Bresar, Jordan mappings of semiprime rings, J. Algebra 17 (1989), 218-228

i can't find that journal

Originally Posted by Shurelia

Can someone help me to finish my essay pleasee..

this is the lemma:
Let R be a semiprime ring. if axb=0 for all x \in R, then bxa=0.

its from:
M.Bresar, Jordan mappings of semiprime rings, J. Algebra 17 (1989), 218-228

i can't find that journal

you don't need the journal. the proof is very easy: let . since for all , we have

,

for all . thus because R is semiprime.