2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/141356We answer a question posed by Carlson, Peng, and Wheeler, and demonstrate that in general Rickard modules in relatively stable categories are not idempotent modules even if one localizes with respect to a tensor ideal subcategory. We also show that there is a modification one can make so as to recover the idempotent behaviour.7 pages revised prior to submissionRepresentation Theory18E05,18E20,18E30,18E35,18G25,20C20,20J05text