AIDS-related lymphoma describes lymphomas occurring in patients with acquired immunodeficiency syndrome (AIDS).[1][2] A lymphoma is a type of cancer arising from lymphoid cells. In AIDS, the incidence of non-Hodgkin's lymphoma, primary cerebral lymphoma and Hodgkin's disease are all increased. There are three different varieties of AIDS-related lymphoma: Diffuse large B-cell lymphoma, B-cell immunoblastic lymphoma, and Burkitt's lymphoma (small non-cleaved cell lymphoma).[3]

Reference
Wiki: AIDS-related lymphoma