Is relation is "atomic" operation?
Another questions (connected to the subject):
(1)Can I define a relation as a recursive "operation", like: A>1 so also 2A>1, 3A>1 and etc.
So Is there a way as I said to "divide" the relation to other relation that are used in That way?!
(2)Can Relation be reflexive as I said?!
1) No, relations are not operations, so they cannot be recursive operations.
2) No. While relations can be reflexive, they are not recursive operations, so they can not be reflexive recursive operations.
Now, that said, it may be possible to define an operator on the set of all relations to itself such that it takes one relation and "divides" it in some way (provided you can make this division well-defined). I would look into representation theory if I were you.