For patients with very limited disease (R1/R2 stage I/II), the addition of rituximab might allow the omission of anthracyclines without jeopardizing survival rates but reducing acute and long term toxicities. In this treatment arm, it is tested whether the event-free survival is similar to that of the historical control when all patients receive one dose of rituximab as monotherapeutic agent in the rituximab window R five days prior to the start of standard chemotherapy as a substitute for anthracyclines.