Routers and RIP violation of isolation?

        I'm studying networking from the book 'A top down approach' from Kurose and Ross.  
In the book it is stated that routers are generally considered Layer 3 devices (i.e. implementing the stack up to the network layer). RIP, a intra AS routing algorithm, should be a network layer component and yet it uses UDP as a mechanism for messages exchange.
Is this a violation of the general rule of isolation?Or am I getting something wrong?

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