Can a non distinct ordered pair in a relation R, belong to its power RR
Here is the given problem :
Let R= {(1,1),(2,1),(3,2),(4,3)}
they have give that RR or RoR = {(1,1),(2,1),(3,2),(4,2)}
RR is defined as = { | a A c C b [b B R1 R2 ] } .
I understand the reason of all the ordered pairs in RR except (1,1)
how (1,1) be in RoR, Your help much appreciated.
Generally, if $aRb$ and $bRc$, then $aR^2c$. Here $1R1$ and $1R1$ gives $1R^21$.