In this paper we extend the study of the prime ideal structure of group rings initiated by Gilmer (1974), Brewer-Costa-Lady (1975), and Anderson-Bouvier-Dobbs-Fontana-Kabbaj (1988). Of particular inter-est is the transfer fromAtoA[G] of certain properties which are linked to the prime spectrum such asS-domain or Jaffard domain. Their study will follow the same lines as the usual approach to the study of prime ideal structure in polynomial rings.