We want to define a deformation of the flag varietyofSLn(k) the special linear group ofkn, wherekis an algebraically closed field of characteristic 0. We will construct the quantum flag ring as a subalgebra ofk,q, [SLn(k)], the quantumSLn(k) and we then will exhibit it in terms of generators and relations in the case in whichkqis replaced by a suitable local ring ink(q). These results are a generalization of those obtained for the quantum grassmannian in [4].