Prevention of Graft-Versus-Host Disease in Patients With Advanced Leukemia or Lymphoma Who Are Eligible for Peripheral Stem Cell Transplantation

RATIONALE: Peripheral stem cell transplantation may be able to replace immune cells that were destroyed by chemotherapy or radiation therapy used to kill tumor cells. Sometimes the transplanted cells can make an immune response against the body's normal tissues. PURPOSE: Randomized phase III trial to compare the effectiveness of cyclosporine plus methotrexate with cyclosporine plus T cell depletion for prevention of graft-versus-host disease during peripheral stem cell transplantation in patients who have advanced leukemia or lymphoma who are eligible for transplanted peripheral stem cells from a donor.