2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73590In this paper we give a direct proof of the properties of the $\ZZ D_\infty$ category which was introduced in the classification of noetherian, hereditary categories with Serre duality by Idun Reiten and the author.11 pagesCategory Theory18E10On the $\mathbb{Z} D_\infty$-categorytext