2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61385This contribution presents a comprehensive analysis of Colombeau (-type) algebras in the range between the diffeomorphism invariant algebra introduced in Part I and Colombeau's original algebra. Along the way, it provides several classification results which are indispensable for obtaining an intrinsic description of a (full) Colombeau algebra on a manifold. The latter will be the focus of Part III of this series of contributions.10 pages, LaTeX, Contribution to Proceedings of ICGF 2000Functional AnalysisMathematical Physics46F30; 26E15; 46E50; 35D05text