What is the idempotent in strongly pi regular rings?
Is them trival or have a special property?
A ring R is said to be strongly pi regular if for each a in R we can find some x in R such that a^(n)=a^(n+1)x
It will be analogous to that of regular rings., I think
A ring R is simple if it has no two-sided ideal. A ring R is Abelian if each idempotent in R is central and R is domain if for each a,b in R, ab=0 implies that a=0 or b=0.
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