2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57773This supplementary manuscript is to describe an important nontrivial example, which appears in the matrix model of type IIB in the super string theory in order to apply a new duality for the moduli spaces of Yang-Mills connections on noncommutative vector bundles. Actually, the moduli space of the instanton bundle over noncommutative Euclidean 4-spaces with respect to the canonical action of space translations is computed precisely without using the ADHM- construction.9pages Latex 2eMathematical Physicstext