A lymphoma (non-Hodgkin or Hodgkin) arising from the central nervous system and occurring in HIV-positive patients. The disease is AIDS-related primary central nervous system lymphoma (Monarch Disease Ontology term MONDO_0006078). Also known as: AIDS related lymphoma of primary central nervous system, AIDS related lymphoma of the primary central nervous system, AIDS related primary CNS lymphoma, AIDS related primary central nervous system lymphoma, AIDS-related lymphoma of primary central nervous system, AIDS-related lymphoma of the primary central nervous system, AIDS-related primary CNS lymphoma.