2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99987In this paper we completely characterize all possible pairs of Jordan canonical forms for mutually annihilating nilpotent pairs, i.e. pairs $(A,B)$ of nilpotent matrices such that $AB=BA=0$.13 pagesCommutative Algebra15A03, 15A21, 15A27text