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NO , Rno R is NOT same as R o Rn  .

Let R be a relation from a set A to a set B and Rn a relation from set B to a set C.

The composite of R and Rn is the relation consisting of the ordered pairs (a,c) where a ∈ A and c ∈ C, and for which there is  b ∈ B such that (a,b) ∈ R and (b,c) ∈ Rn.

We denote the composite of R and Rn by Rn o R.

But as composition of a relation does not holds commutative property . so we can say Rno R is NOT same as R o Rn  

Composition is associative .

you can read further http://www.tutorvista.com/content/math/composition-of-relations/

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